Bases In Banach Spaces

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A Basis Theory Primer

Author : Christopher Heil
Publisher : Springer Science & Business Media
ISBN 13 : 0817646868
Total Pages : 549 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Basis Theory Primer by : Christopher Heil

Download or read book A Basis Theory Primer written by Christopher Heil and published by Springer Science & Business Media. This book was released on 2011 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.

Bases in Banach Spaces

Author : Ivan Singer
Publisher : Springer
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bases in Banach Spaces by : Ivan Singer

Download or read book Bases in Banach Spaces written by Ivan Singer and published by Springer. This book was released on 1970 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bases in Banach Spaces

Author : Ivan Singer
Publisher : Springer
ISBN 13 :
Total Pages : 690 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Bases in Banach Spaces by : Ivan Singer

Download or read book Bases in Banach Spaces written by Ivan Singer and published by Springer. This book was released on 1970 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bases in Banach Spaces

Author : Ivan Singer
Publisher : Springer
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bases in Banach Spaces by : Ivan Singer

Schauder Bases in Banach Spaces of Continuous Functions

Author : Z. Semadeni
Publisher : Springer
ISBN 13 : 3540391436
Total Pages : 142 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Schauder Bases in Banach Spaces of Continuous Functions by : Z. Semadeni

Download or read book Schauder Bases in Banach Spaces of Continuous Functions written by Z. Semadeni and published by Springer. This book was released on 2006-11-14 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Banach Space Theory

Author : Marián Fabian
Publisher : Springer Science & Business Media
ISBN 13 : 1441975152
Total Pages : 820 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Banach Space Theory by : Marián Fabian

Download or read book Banach Space Theory written by Marián Fabian and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Biorthogonal Systems in Banach Spaces

Author : Petr Hajek
Publisher : Springer Science & Business Media
ISBN 13 : 038768915X
Total Pages : 352 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Biorthogonal Systems in Banach Spaces by : Petr Hajek

Download or read book Biorthogonal Systems in Banach Spaces written by Petr Hajek and published by Springer Science & Business Media. This book was released on 2007-10-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces. It achieves this in a manner accessible to graduate students and researchers who have a foundation in Banach space theory. The authors have included numerous exercises, as well as open problems that point to possible directions of research.

An Introduction to Banach Space Theory

Author : Robert E. Megginson
Publisher : Springer Science & Business Media
ISBN 13 : 1461206030
Total Pages : 613 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to Banach Space Theory by : Robert E. Megginson

Download or read book An Introduction to Banach Space Theory written by Robert E. Megginson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Short Course on Banach Space Theory

Author : N. L. Carothers
Publisher : Cambridge University Press
ISBN 13 : 9780521603720
Total Pages : 206 pages
Book Rating : 4.6/5 (37 download)

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Book Synopsis A Short Course on Banach Space Theory by : N. L. Carothers

Download or read book A Short Course on Banach Space Theory written by N. L. Carothers and published by Cambridge University Press. This book was released on 2005 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Topics in Banach Space Theory

Author : Fernando Albiac
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

Geometry of Banach Spaces - Selected Topics

Author : J. Diestel
Publisher : Springer
ISBN 13 : 3540379134
Total Pages : 298 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Geometry of Banach Spaces - Selected Topics by : J. Diestel

Download or read book Geometry of Banach Spaces - Selected Topics written by J. Diestel and published by Springer. This book was released on 2006-11-14 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Denseness, Bases and Frames in Banach Spaces and Applications

Author : Aref Jeribi
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110492407
Total Pages : 513 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Denseness, Bases and Frames in Banach Spaces and Applications by : Aref Jeribi

Download or read book Denseness, Bases and Frames in Banach Spaces and Applications written by Aref Jeribi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-03-19 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to recent developments concerning linear operators, covering topics such as the Cauchy problem, Riesz basis, frames, spectral theory and applications to the Gribov operator in Bargmann space. Also, integral and integro-differential equations as well as applications to problems in mathematical physics and mechanics are discussed. Contents Introduction Linear operators Basic notations and results Bases Semi-groups Discrete operator and denseness of the generalized eigenvectors Frames in Hilbert spaces Summability of series ν-convergence operators Γ-hypercyclic set of linear operators Analytic operators in Béla Szökefalvi-Nagy’s sense Bases of the perturbed operator T(ε) Frame of the perturbed operator T(ε) Perturbation method for sound radiation by a vibrating plate in a light fluid Applications to mathematical models Reggeon field theory

Bases in Banach spaces

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (487 download)

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Book Synopsis Bases in Banach spaces by :

Download or read book Bases in Banach spaces written by and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Banach Spaces with a Unique Unconditional Basis, up to Permutation

Author : Jean Bourgain
Publisher : American Mathematical Soc.
ISBN 13 : 082182323X
Total Pages : 119 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Banach Spaces with a Unique Unconditional Basis, up to Permutation by : Jean Bourgain

Download or read book Banach Spaces with a Unique Unconditional Basis, up to Permutation written by Jean Bourgain and published by American Mathematical Soc.. This book was released on 1985 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the memoir we examine the question which Banach spaces have a unique unconditional basis, up to equivalence and permutation. We solve this question for some infinite direct sums of classical sequence spaces and for a Tsirelson type space. We also classify, up to isomorphism, all the complemented subspaces of some of the examples mentioned above.

Classical Banach Spaces I

Author : J. Lindenstrauss
Publisher : Springer Science & Business Media
ISBN 13 : 3642665578
Total Pages : 202 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Classical Banach Spaces I by : J. Lindenstrauss

Download or read book Classical Banach Spaces I written by J. Lindenstrauss and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of Banach's book [8] in 1932 signified the beginning of a syste matic study of normed linear spaces, which have been the subject of continuous research ever since. In the sixties, and especially in the last decade, the research activity in this area grew considerably. As a result, Ban:ach space theory gained very much in depth as well as in scope: Most of its well known classical problems were solved, many interesting new directions were developed, and deep connections between Banach space theory and other areas of mathematics were established. The purpose of this book is to present the main results and current research directions in the geometry of Banach spaces, with an emphasis on the study of the structure of the classical Banach spaces, that is C(K) and Lip.) and related spaces. We did not attempt to write a comprehensive survey of Banach space theory, or even only of the theory of classical Banach spaces, since the amount of interesting results on the subject makes such a survey practically impossible.

Handbook of the Geometry of Banach Spaces

Author :
Publisher : Elsevier
ISBN 13 : 0080532802
Total Pages : 1017 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of the Geometry of Banach Spaces by :

Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2001-08-15 with total page 1017 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.

Bases in Banach Spaces II

Author : Ivan Singer
Publisher : Springer
ISBN 13 : 9783540103943
Total Pages : 880 pages
Book Rating : 4.1/5 (39 download)

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Book Synopsis Bases in Banach Spaces II by : Ivan Singer

Download or read book Bases in Banach Spaces II written by Ivan Singer and published by Springer. This book was released on 1981-02-01 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance, in 1970, of Vol. I of the present monograph 1370], the theory of bases in Banach spaces has developed substantially. Therefore, the present volume contains only Ch. III of the monograph, instead of Ch. Ill, IV and V, as was planned initially (cp. the table of contents of Vol. I). Since this volume is a continuation of Vol. I of the same monograph, we shall refer to the results of Vol. I directly as results of Ch. I or Ch. II (without specifying Vol. I). On the other hand, sometimes we shall also mention that certain results will be considered in Vol. III (Ch. IV, V). In spite of the many new advances made in this field, the statement in the Preface to Vol. I, that "the existing books on functional analysis contain only a few results on bases", remains still valid, with the exception of the recent book [248 a] of J. Lindenstrauss and L. Tzafriri. Since we have learned about [248 a] only in 1978, in this volume there are only references to previous works, instead of [248 a]; however, this will cause no inconvenience, since the intersec tion of the present volume with [248 a] is very small. Let us also mention the appearance, since 1970, of some survey papers on bases in Banach spaces (V. D. Milman [287], [288], C. W. McArthur [275]; M. I. Kadec [204], § 3 and others).