New Classes of Lp-Spaces

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Publisher : Springer
ISBN 13 : 3540386114
Total Pages : 147 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis New Classes of Lp-Spaces by : J. Bourgain

Download or read book New Classes of Lp-Spaces written by J. Bourgain and published by Springer. This book was released on 2006-11-14 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this text is to present new examples of LP-spaces for 1 ≤ P ≤ ∞. This work has three reasons of interest. First, of course, it provides new LPspaces. Secondly, because certain constructions are based on new ideas and techniques with possibly other applications. Finally, especially in chapters four and five, crucial use is made of certain probabilistic results which have an independent importance.

New Classes of Lp-Spaces

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Publisher : Springer
ISBN 13 : 9783540111566
Total Pages : 160 pages
Book Rating : 4.1/5 (115 download)

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Book Synopsis New Classes of Lp-Spaces by : J. Bourgain

Download or read book New Classes of Lp-Spaces written by J. Bourgain and published by Springer. This book was released on 1981-10-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this text is to present new examples of LP-spaces for 1 ≤ P ≤ ∞. This work has three reasons of interest. First, of course, it provides new LPspaces. Secondly, because certain constructions are based on new ideas and techniques with possibly other applications. Finally, especially in chapters four and five, crucial use is made of certain probabilistic results which have an independent importance.

Smooth Analysis in Banach Spaces

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110258994
Total Pages : 514 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Smooth Analysis in Banach Spaces by : Petr Hájek

Download or read book Smooth Analysis in Banach Spaces written by Petr Hájek and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-29 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available? The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book.

Köthe-Bochner Function Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 0817681884
Total Pages : 384 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Köthe-Bochner Function Spaces by : Pei-Kee Lin

Download or read book Köthe-Bochner Function Spaces written by Pei-Kee Lin and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

History of Banach Spaces and Linear Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645969
Total Pages : 855 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis History of Banach Spaces and Linear Operators by : Albrecht Pietsch

Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.

Martingales in Banach Spaces

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Publisher : Cambridge University Press
ISBN 13 : 1107137241
Total Pages : 591 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Martingales in Banach Spaces by : Gilles Pisier

Download or read book Martingales in Banach Spaces written by Gilles Pisier and published by Cambridge University Press. This book was released on 2016-06-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

Problems and Recent Methods in Operator Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470427729
Total Pages : 239 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Problems and Recent Methods in Operator Theory by : Fernanda Botelho

Download or read book Problems and Recent Methods in Operator Theory written by Fernanda Botelho and published by American Mathematical Soc.. This book was released on 2017-04-18 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop on Problems and Recent Methods in Operator Theory, held at the University of Memphis, Memphis, TN, from October 15–16, 2015 and the AMS Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, held at the University of Memphis, Memphis, TN, from October 17–18, 2015. Operator theory is at the root of several branches of mathematics and offers a broad range of challenging and interesting research problems. It also provides powerful tools for the development of other areas of science including quantum theory, physics and mechanics. Isometries have applications in solid-state physics. Hermitian operators play an integral role in quantum mechanics very much due to their “nice” spectral properties. These powerful connections demonstrate the impact of operator theory in various branches of science. The articles in this volume address recent problems and research advances in operator theory. Highlighted topics include spectral, structural and geometric properties of special types of operators on Banach spaces, with emphasis on isometries, weighted composition operators, multi-circular projections on function spaces, as well as vector valued function spaces and spaces of analytic functions. This volume gives a succinct overview of state-of-the-art techniques from operator theory as well as applications to classical problems and long-standing open questions.

Function Spaces

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Publisher : CRC Press
ISBN 13 : 9780824786120
Total Pages : 450 pages
Book Rating : 4.7/5 (861 download)

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Book Synopsis Function Spaces by : Krzysztof Jarov

Download or read book Function Spaces written by Krzysztof Jarov and published by CRC Press. This book was released on 1991-12-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.

Nigel J. Kalton Selecta

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Publisher : Birkhäuser
ISBN 13 : 3319187961
Total Pages : 771 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Nigel J. Kalton Selecta by : Fritz Gesztesy

Download or read book Nigel J. Kalton Selecta written by Fritz Gesztesy and published by Birkhäuser. This book was released on 2016-07-05 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

An Introductory Course in Lebesgue Spaces

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Publisher : Springer
ISBN 13 : 3319300342
Total Pages : 461 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis An Introductory Course in Lebesgue Spaces by : Rene Erlin Castillo

Download or read book An Introductory Course in Lebesgue Spaces written by Rene Erlin Castillo and published by Springer. This book was released on 2016-06-23 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.

Function Spaces

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Publisher : CRC Press
ISBN 13 : 9780824796655
Total Pages : 412 pages
Book Rating : 4.7/5 (966 download)

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Book Synopsis Function Spaces by : K. Jarosz

Download or read book Function Spaces written by K. Jarosz and published by CRC Press. This book was released on 1995-07-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the proceedings from the Second Conference on Function Spaces, this work details known results and fresh discoveries on a wide range of topics concerning function spaces. It covers advances in areas such as spaces and algebras of analytic functions, Lp-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.

Banach Spaces and Descriptive Set Theory: Selected Topics

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Publisher : Springer
ISBN 13 : 3642121535
Total Pages : 180 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Banach Spaces and Descriptive Set Theory: Selected Topics by : Pandelis Dodos

Download or read book Banach Spaces and Descriptive Set Theory: Selected Topics written by Pandelis Dodos and published by Springer. This book was released on 2010-04-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we ?nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC? We will consider quite classical properties of Banach spaces, such as “- ing re?exive,” “having separable dual,” “not containing an isomorphic copy of c ,” “being non-universal,” etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is “simple.” The “simplicity” ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural “coding” of separable Banach spaces, then we can indeed ?nd a separable space Y which is universal for the class C and satis?es the requirements imposed above.

Combinatorial Theory

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Publisher : Springer
ISBN 13 : 3540393803
Total Pages : 335 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Combinatorial Theory by : D. Jungnickel

Download or read book Combinatorial Theory written by D. Jungnickel and published by Springer. This book was released on 2006-11-15 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kleinian Groups and Related Topics

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Publisher : Springer
ISBN 13 : 3540394265
Total Pages : 126 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Kleinian Groups and Related Topics by : D.M. Gallo

Download or read book Kleinian Groups and Related Topics written by D.M. Gallo and published by Springer. This book was released on 2006-11-15 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Narrow Operators on Function Spaces and Vector Lattices

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Publisher : Walter de Gruyter
ISBN 13 : 3110263343
Total Pages : 336 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Narrow Operators on Function Spaces and Vector Lattices by : Mikhail Popov

Download or read book Narrow Operators on Function Spaces and Vector Lattices written by Mikhail Popov and published by Walter de Gruyter. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A New Class of Banach Spaces Associated with a Disintegrable Measure

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Publisher :
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis A New Class of Banach Spaces Associated with a Disintegrable Measure by : Joseph Gregory Kupka

Download or read book A New Class of Banach Spaces Associated with a Disintegrable Measure written by Joseph Gregory Kupka and published by . This book was released on 1970 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Separably Injective Banach Spaces

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Publisher : Springer
ISBN 13 : 3319147412
Total Pages : 236 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Separably Injective Banach Spaces by : Antonio Avilés

Download or read book Separably Injective Banach Spaces written by Antonio Avilés and published by Springer. This book was released on 2016-03-26 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as l∞/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L∞ spaces and spaces of universal disposition). It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines of research.