The Rademacher System in Function Spaces PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Rademacher System in Function Spaces PDF full book. Access full book title The Rademacher System in Function Spaces by Sergey V. Astashkin. Download full books in PDF and EPUB format.
Author: Sergey V. Astashkin
Publisher: Springer Nature
ISBN: 3030478904
Category : Mathematics
Languages : en
Pages : 567
Get Book Here
Book Description
This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system is considered respectively in Lp-spaces, in general symmetric spaces and in certain classes of non-symmetric spaces (BMO, Paley, Cesaro, Morrey). The presentation is clear and transparent, providing all main results with detailed proofs. Moreover, literary and historical comments are given at the end of each chapter. This book will be suitable for graduate students and researchers interested in functional analysis, theory of functions and geometry of Banach spaces.
Author: Sergey V. Astashkin
Publisher: Springer Nature
ISBN: 3030478904
Category : Mathematics
Languages : en
Pages : 567
Get Book Here
Book Description
This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system is considered respectively in Lp-spaces, in general symmetric spaces and in certain classes of non-symmetric spaces (BMO, Paley, Cesaro, Morrey). The presentation is clear and transparent, providing all main results with detailed proofs. Moreover, literary and historical comments are given at the end of each chapter. This book will be suitable for graduate students and researchers interested in functional analysis, theory of functions and geometry of Banach spaces.
Author: Mikhail Popov
Publisher: Walter de Gruyter
ISBN: 3110263343
Category : Mathematics
Languages : en
Pages : 336
Get Book Here
Book Description
Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.
Author: Pei-Kee Lin
Publisher: Springer Science & Business Media
ISBN: 0817681884
Category : Mathematics
Languages : en
Pages : 384
Get Book Here
Book Description
This monograph is devoted to the study of Köthe–Bochner function spaces, an active area of research at the intersection of Banach space theory, harmonic analysis, probability, and operator theory. A number of significant results---many scattered throughout the literature---are distilled and presented here, giving readers a comprehensive view of the subject from its origins in functional analysis to its connections to other disciplines. Considerable background material is provided, and the theory of Köthe–Bochner spaces is rigorously developed, with a particular focus on open problems. Extensive historical information, references, and questions for further study are included; instructive examples and many exercises are incorporated throughout. Both expansive and precise, this book’s unique approach and systematic organization will appeal to advanced graduate students and researchers in functional analysis, probability, operator theory, and related fields.
Author: Z. Semadeni
Publisher: Springer
ISBN: 3540391436
Category : Mathematics
Languages : en
Pages : 142
Get Book Here
Book Description
Author: Александр Яковлевич Хелемский
Publisher: American Mathematical Soc.
ISBN: 9780821889695
Category : Mathematics
Languages : en
Pages : 496
Get Book Here
Book Description
The book is based on courses taught by the author at Moscow State University. Compared to many other books on the subject, it is unique in that the exposition is based on extensive use of the language and elementary constructions of category theory. Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. It can be used as a textbook on selected topics of functional analysis and operator theory. Prerequisites include linear algebra, elements of real analysis, and elements of the theory of metric spaces.
Author: Masami It?
Publisher: World Scientific
ISBN: 9810249489
Category : Language Arts & Disciplines
Languages : en
Pages : 503
Get Book Here
Book Description
The research results published in this book range from pure mathematical theory (semigroup theory, discrete mathematics, etc.) to theoretical computer science, in particular formal languages and automata. The papers address issues in the algebraic and combinatorial theories of semigroups, words and languages, the structure theory of automata, the classification theory of formal languages and codes, and applications of these theories to various areas, like quantum and molecular computing, coding theory, and cryptography.
Author: Alexey Karapetyants
Publisher: Springer Nature
ISBN: 3030267482
Category : Mathematics
Languages : en
Pages : 475
Get Book Here
Book Description
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, differential equations and fractional analysis – all fields that have been intensively developed in recent decades. Direct and inverse problems arising in mathematical physics are studied and new methods for solving them are presented. Complex multiparameter objects that require the involvement of operators with variable parameters and functional spaces, with fractional and even variable exponents, make these approaches all the more relevant. Given its scope, the book will especially benefit researchers with an interest in new trends in harmonic analysis and operator theory, though it will also appeal to graduate students seeking new and intriguing topics for further investigation.
Author: Guillermo Curbera
Publisher: Springer Science & Business Media
ISBN: 3034602111
Category : Mathematics
Languages : en
Pages : 382
Get Book Here
Book Description
This volume contains a selection of articles on the theme "vector measures, integration and applications" together with some related topics. The articles consist of both survey style and original research papers, are written by experts in thearea and present a succinct account of recent and up-to-date knowledge. The topic is interdisciplinary by nature and involves areas such as measure and integration (scalar, vector and operator-valued), classical and harmonic analysis, operator theory, non-commutative integration, andfunctional analysis. The material is of interest to experts, young researchers and postgraduate students.
Author: N. L. Carothers
Publisher: Cambridge University Press
ISBN: 9780521603720
Category : Mathematics
Languages : en
Pages : 206
Get Book Here
Book Description
Publisher Description
Author: Albrecht Pietsch
Publisher: Cambridge University Press
ISBN: 0521624622
Category : Mathematics
Languages : en
Pages : 565
Get Book Here
Book Description
This book describes the interplay between orthonormal expansions and Banach space geometry.
