A Short Course on Banach Space Theory
Author: N. L. Carothers
Publisher: Cambridge University Press
Published: 2005
Total Pages: 199
ISBN-13: 0521842832
DOWNLOAD EBOOK →Publisher Description
Author: N. L. Carothers
Publisher: Cambridge University Press
Published: 2005
Total Pages: 199
ISBN-13: 0521842832
DOWNLOAD EBOOK →Publisher Description
Author: N. L. Carothers
Publisher: Cambridge University Press
Published: 2005
Total Pages: 206
ISBN-13: 9780521603720
DOWNLOAD EBOOK →Publisher Description
Author: Robert E. Megginson
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 613
ISBN-13: 1461206030
DOWNLOAD EBOOK →Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.
Author: William Arveson
Publisher: Springer Science & Business Media
Published: 2006-04-18
Total Pages: 143
ISBN-13: 0387215182
DOWNLOAD EBOOK →This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.
Author: Klaus-Jochen Engel
Publisher: Springer Science & Business Media
Published: 2006-06-06
Total Pages: 257
ISBN-13: 0387313419
DOWNLOAD EBOOK →The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.
Author: P. Wojtaszczyk
Publisher: Cambridge University Press
Published: 1996-08
Total Pages: 400
ISBN-13: 9780521566759
DOWNLOAD EBOOK →This book is intended to be used with graduate courses in Banach space theory.
Author: Marián Fabian
Publisher: Springer Science & Business Media
Published: 2011-02-04
Total Pages: 820
ISBN-13: 1441975152
DOWNLOAD EBOOK →Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
Author: Fernando Albiac
Publisher: Springer
Published: 2016-07-19
Total Pages: 508
ISBN-13: 3319315579
DOWNLOAD EBOOK →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
Author: Félix Cabello Sánchez
Publisher: Cambridge University Press
Published: 2023-01-31
Total Pages: 561
ISBN-13: 1108478581
DOWNLOAD EBOOK →Approaches Banach space theory using methods from homological algebra, with concrete examples and proofs of many new and classical results.
Author: Jesus M.F. Castillo
Publisher: Springer
Published: 2007-12-03
Total Pages: 280
ISBN-13: 3540695192
DOWNLOAD EBOOK →This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples.