Nigel Kalton?s Lectures in Nonlinear Functional Analysis

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Publisher : American Mathematical Society
ISBN 13 : 147047347X
Total Pages : 270 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nigel Kalton?s Lectures in Nonlinear Functional Analysis by : Adam Bowers

Download or read book Nigel Kalton?s Lectures in Nonlinear Functional Analysis written by Adam Bowers and published by American Mathematical Society. This book was released on 2024-10-02 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of the book is the nonlinear geometry of Banach spaces, and it considers various significant problems in the field. The present book is a commented transcript of the notes of the graduate-level topics course in nonlinear functional analysis given by the late Nigel Kalton in 2008. Nonlinear geometry of Banach spaces is a very active area of research with connections to theoretical computer science, noncommutative geometry, as well as geometric group theory. Nigel Kalton was the most influential and prolific contributor to the theory. Collected here are the topics that Nigel Kalton felt were significant for those first dipping a toe into the subject of nonlinear functional analysis and presents these topics in an accessible and concise manner. As well as covering some well-known topics, it also includes recent results discovered by Kalton and his collaborators which have not previously appeared in textbook form. A typical first-year course in functional analysis will provide sufficient background for readers of this book.

Nigel J. Kalton Selecta

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Publisher : Birkhäuser
ISBN 13 : 3319187996
Total Pages : 778 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 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second 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.

Interaction Between Functional Analysis, Harmonic Analysis, and Probability

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Publisher : CRC Press
ISBN 13 : 9780824796112
Total Pages : 496 pages
Book Rating : 4.7/5 (961 download)

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Book Synopsis Interaction Between Functional Analysis, Harmonic Analysis, and Probability by : Nigel Kalton

Download or read book Interaction Between Functional Analysis, Harmonic Analysis, and Probability written by Nigel Kalton and published by CRC Press. This book was released on 1995-10-12 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference on the interaction between functional analysis, harmonic analysis and probability theory, this work offers discussions of each distinct field, and integrates points common to each. It examines developments in Fourier analysis, interpolation theory, Banach space theory, probability, probability in Banach spaces, and more.

Topics in Banach Space Theory

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Publisher : Springer
ISBN 13 : 3319315579
Total Pages : 512 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Topics in Banach Space Theory by : Fernando Albiac

Download or read book Topics in Banach Space Theory written by Fernando Albiac and published by Springer. This book was released on 2016-07-19 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."—Gilles Godefroy, Mathematical Reviews

Bibliographic Index

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Publisher :
ISBN 13 :
Total Pages : 1192 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bibliographic Index by :

Download or read book Bibliographic Index written by and published by . This book was released on 1997 with total page 1192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Methods in Nonlinear Analysis

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110647389
Total Pages : 500 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Variational Methods in Nonlinear Analysis by : Dimitrios C. Kravvaritis

Download or read book Variational Methods in Nonlinear Analysis written by Dimitrios C. Kravvaritis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-04-06 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.

Banach Spaces and their Applications in Analysis

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Publisher : Walter de Gruyter
ISBN 13 : 3110918293
Total Pages : 465 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Banach Spaces and their Applications in Analysis by : Beata Randrianantoanina

Download or read book Banach Spaces and their Applications in Analysis written by Beata Randrianantoanina and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.

American Book Publishing Record

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Publisher :
ISBN 13 :
Total Pages : 1328 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis American Book Publishing Record by :

Download or read book American Book Publishing Record written by and published by . This book was released on 1996 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces, Interpolation Theory and Related Topics

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Publisher : Walter de Gruyter
ISBN 13 : 3110198053
Total Pages : 473 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Function Spaces, Interpolation Theory and Related Topics by : Michael Cwikel

Download or read book Function Spaces, Interpolation Theory and Related Topics written by Michael Cwikel and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Notices of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 998 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1993 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Banach Spaces and Their Applications in Analysis

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Publisher : Walter de Gruyter
ISBN 13 : 9783110194494
Total Pages : 472 pages
Book Rating : 4.1/5 (944 download)

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Book Synopsis Banach Spaces and Their Applications in Analysis by : Beata Randrianantoanina

Download or read book Banach Spaces and Their Applications in Analysis written by Beata Randrianantoanina and published by Walter de Gruyter. This book was released on 2007 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.

Directory of Published Proceedings

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Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Directory of Published Proceedings by :

Download or read book Directory of Published Proceedings written by and published by . This book was released on 1997 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

National Union Catalog

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Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis National Union Catalog by :

Download or read book National Union Catalog written by and published by . This book was released on 1978 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes entries for maps and atlases.

Homological Methods in Banach Space Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108807887
Total Pages : 562 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Homological Methods in Banach Space Theory by : Félix Cabello Sánchez

Download or read book Homological Methods in Banach Space Theory written by Félix Cabello Sánchez and published by Cambridge University Press. This book was released on 2023-01-31 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research. Containing a lot of material unavailable elsewhere in the literature, this book is the definitive resource for functional analysts who want to know what homological algebra can do for them.

Forthcoming Books

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Publisher :
ISBN 13 :
Total Pages : 2174 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Forthcoming Books by : Rose Arny

Download or read book Forthcoming Books written by Rose Arny and published by . This book was released on 1988-09 with total page 2174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Library of Congress Catalog

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Publisher :
ISBN 13 :
Total Pages : 1030 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Library of Congress Catalog by : Library of Congress

Download or read book Library of Congress Catalog written by Library of Congress and published by . This book was released on 1972 with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with 1953, entries for Motion pictures and filmstrips, Music and phonorecords form separate parts of the Library of Congress catalogue. Entries for Maps and atlases were issued separately 1953-1955.