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Recommended For You

Operators Between Sequence Spaces and Applications

by Bruno de Malafosse, Eberhard Malkowsky, Vladimir Rakočević ...

Series series Mathematics and Statistics (R0)
This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these ... Read more

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This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these
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Ten Mathematical Essays on Approximation in Analysis and Topology

Ten Mathematical Essays

Edited by J. Lopez-Gomez, F.R. Ruiz del Portal, Juan Ferrera ...

This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century. Besides the papers contain the very ultimate results in each of their respective fields, many of them also include a series of historical remarks about the state of mathematics at the time they found their most celebrated results, as ... Read more

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This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century. Besides the papers contain the very ultimate results in each of their respective fields, many of them also include a series of historical remarks about the state of mathematics at the time they found their most celebrated results, as
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Probabilistic Normed Spaces

by Bernardo Lafuerza Guillen, Panackal Harikrishnan ...

This book provides a comprehensive foundation in Probabilistic Normed (PN) Spaces for anyone conducting research in this field of mathematics and statistics. It is the first to fully discuss the developments and the open problems of this highly relevant topic, introduced by A N Serstnev in the early 1960s as a response to problems of best approximations in statistics.The theory was revived by ... Read more

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This book provides a comprehensive foundation in Probabilistic Normed (PN) Spaces for anyone conducting research in this field of mathematics and statistics. It is the first to fully discuss the developments and the open problems of this highly relevant topic, introduced by A N Serstnev in the early 1960s as a response to problems of best approximations in statistics.The theory was revived by
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Index Analysis

Approach Theory at Work

by R. Lowen ...

Series series Mathematics and Statistics (R0)
The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction.The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform ... Read more

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The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction.The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform
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Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory

by Justus Diller ...

This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular ... Read more

R1 192,65

This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular
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Modern Methods in Operator Theory and Harmonic Analysis

OTHA 2018, Rostov-on-Don, Russia, April 22-27, Selected, Revised and Extended Contributions

Edited by Alexey Karapetyants, Vladislav Kravchenko, Elijah Liflyand ...

Series series Springer Nature Proceedings excluding Computer Science
This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, ... Read more

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This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory,
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Variational Analysis and Set Optimization

Developments and Applications in Decision Making

Edited by Akhtar A. Khan, Elisabeth Köbis, Christiane Tammer ...

This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization. Recent developments concerning scalarization techniques, necessary and sufficient optimality conditions and duality statements are given. New numerical methods for efficiently solving set optimization problems are provided. ... Read more

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This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization. Recent developments concerning scalarization techniques, necessary and sufficient optimality conditions and duality statements are given. New numerical methods for efficiently solving set optimization problems are provided.
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Evolutionary Equations with Applications in Natural Sciences

Edited by Jacek Banasiak, Mustapha Mokhtar-Kharroubi ...

Series series Mathematics and Statistics (R0)
With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and ... Read more

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With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and
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Real Variables

by Alberto Torchinsky ...

A modern introduction to the theory of real variables and its applications to all areas of analysis and partial differential equations. The book discusses the foundations of analysis, including the theory of integration, the Lebesque and abstract integrals, the Radon-Nikodym Theorem, the Theory of Banach and Hilbert spaces, and a glimpse of Fourier series. All material is presented in a clear and ... Read more

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A modern introduction to the theory of real variables and its applications to all areas of analysis and partial differential equations. The book discusses the foundations of analysis, including the theory of integration, the Lebesque and abstract integrals, the Radon-Nikodym Theorem, the Theory of Banach and Hilbert spaces, and a glimpse of Fourier series. All material is presented in a clear and
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Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

by Silvestru Sever Dragomir ...

Series series Mathematics and Statistics (R0)
Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in ... Read more

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Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in
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Problems and Solutions in Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions and Quantum Mechanics

by Willi-Hans Steeb, Wolfgang Mathis ...

This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students ... Read more

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This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students
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Exercises of Galois Theory

by Simone Malacrida ...

In this book, exercises are carried out regarding the following mathematical topics:polynomials and symmetrical formsCauchy modules and monodromyBinomial, second-, third- and fourth-degree equations.Initial theoretical hints are also presented to make the conduct of the exercises understandable. ... Read more

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In this book, exercises are carried out regarding the following mathematical topics:polynomials and symmetrical formsCauchy modules and monodromyBinomial, second-, third- and fourth-degree equations.Initial theoretical hints are also presented to make the conduct of the exercises understandable.
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Mathematics of Networks

Modulus Theory and Convex Optimization

by Nathan Albin, Pietro Poggi-Corradini ...

Mathematics of Networks: Modulus Theory and Convex Optimization explores the question: “What can be learned by adapting the theory of p-modulus (and related continuum analysis concepts) to discrete graphs?” This book navigates the rich landscape of p-modulus on graphs, demonstrating how this theory elegantly connects concepts from graph theory, probability, and convex optimization.This book is ... Read more

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Mathematics of Networks: Modulus Theory and Convex Optimization explores the question: “What can be learned by adapting the theory of p-modulus (and related continuum analysis concepts) to discrete graphs?” This book navigates the rich landscape of p-modulus on graphs, demonstrating how this theory elegantly connects concepts from graph theory, probability, and convex optimization.This book is
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Variational Methods in Lorentzian Geometry

by Antonio Masiello ...

Series series Chapman & Hall/CRC Research Notes in Mathematics Series
Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the manifold. ... Read more

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Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the manifold.
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Recent Developments in Fractals and Related Fields

Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015

Edited by Julien Barral, Stéphane Seuret ...

Series series Springer Nature Proceedings excluding Computer Science
This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications. It is an outgrowth of the Conference of Fractals and Related Fields III, that was held on September 19-25, 2015 in île ... Read more

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This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications. It is an outgrowth of the Conference of Fractals and Related Fields III, that was held on September 19-25, 2015 in île
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Hilbert And Banach Space-valued Stochastic Processes

by Yuichiro Kakihara ...

Series Book 13 - Series On Multivariate Analysis
This is a development of the book entitled Multidimensional Second Order Stochastic Processes. It provides a research expository treatment of infinite-dimensional stationary and nonstationary stochastic processes or time series, based on Hilbert and Banach space-valued second order random variables. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral ... Read more

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This is a development of the book entitled Multidimensional Second Order Stochastic Processes. It provides a research expository treatment of infinite-dimensional stationary and nonstationary stochastic processes or time series, based on Hilbert and Banach space-valued second order random variables. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral
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An Introduction to Analytic Functions

With Theoretical Implications

by John Sheridan Mac Nerney ...

Series series Mathematics and Statistics (R0)
When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or “do-it-yourself” method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as “too difficult ... Read more

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When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or “do-it-yourself” method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as “too difficult
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Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

by Ilwoo Cho ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C∗-probability spaces.FeaturesSuitable for graduate students and professional ... Read more

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Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C∗-probability spaces.FeaturesSuitable for graduate students and professional
... Read more
Limit Theorems in Probability, Statistics and Number Theory

In Honor of Friedrich Götze

Edited by Peter Eichelsbacher, Guido Elsner, Holger Kösters, Matthias Löwe, Franz Merkl, Silke Rolles ...

Series series Springer Nature Proceedings excluding Computer Science
Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and ... Read more

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Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and
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Geometric Properties for Parabolic and Elliptic PDE's

GPPEPDEs, Palinuro, Italy, May 2015

Edited by Filippo Gazzola, Kazuhiro Ishige, Carlo Nitsch, Paolo Salani ...

Series series Springer Nature Proceedings excluding Computer Science
This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the ... Read more

R2 671,90

This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the
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Theory of Reproducing Kernels and Applications

by Saburou Saitoh, Yoshihiro Sawano ...

Series series Mathematics and Statistics (R0)
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among ... Read more

R2 315,63

This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among
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Analytic Methods for Coagulation-Fragmentation Models, Volume I

by Jacek Banasiak, Wilson Lamb, Philippe Laurencot ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the ... Read more

R4 540,89

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the
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Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2017-2019 Volume II

Edited by Bo'az Klartag, Emanuel Milman ...

Series series Mathematics and Statistics (R0)
Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest ... Read more

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Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest
... Read more
Invertibility and Singularity for Bounded Linear Operators

by Robin Harte ...

Series series Dover Books on Mathematics
This introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource ... Read more

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This introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource
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Recommended For You

Functional Analysis eBooks

Operators Between Sequence Spaces and Applications

Ten Mathematical Essays on Approximation in Analysis and Topology

Probabilistic Normed Spaces

Index Analysis

Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory

Modern Methods in Operator Theory and Harmonic Analysis

Variational Analysis and Set Optimization

Evolutionary Equations with Applications in Natural Sciences

Real Variables

Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

Problems and Solutions in Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions and Quantum Mechanics

Exercises of Galois Theory

Mathematics of Networks

Variational Methods in Lorentzian Geometry

Recent Developments in Fractals and Related Fields

Hilbert And Banach Space-valued Stochastic Processes

An Introduction to Analytic Functions

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

Limit Theorems in Probability, Statistics and Number Theory

Geometric Properties for Parabolic and Elliptic PDE's

Theory of Reproducing Kernels and Applications

Analytic Methods for Coagulation-Fragmentation Models, Volume I

Geometric Aspects of Functional Analysis

Invertibility and Singularity for Bounded Linear Operators