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Author : Sylvia Guerre-Delabriere
Publisher : CRC Press
Page : 234 pages
File Size : 45,8 Mb
Release : 1992-07-21
Category : Mathematics
ISBN : 0824787234
Author : J. Lindenstrauss,L. Tzafriri
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 46,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783642665578
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.
Author : Yau-Chuen Wong
Publisher : Routledge
Page : 206 pages
File Size : 51,9 Mb
Release : 2019-01-25
Category : Mathematics
ISBN : 9781351436458
This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.
Author : Caradus
Publisher : Routledge
Page : 135 pages
File Size : 52,9 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9781351462761
Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.
Author : Pawan K. Jain,Eberhard Malkowsky
Publisher : Alpha Science Int'l Ltd.
Page : 162 pages
File Size : 54,8 Mb
Release : 1999
Category : Mathematics
ISBN : 8173192391
This volume contains referred articles covering areas in classical as well as modern sequence space theory. The major topics covered are: classical sequence spaces; duals and matrix transformation; structure and topology; and applications. The book should be useful to postgraduates and the researchers working or intending to work in the areas of classical and the modern sequence space theory.
Author : Joram Lindenstrauss
Publisher : Unknown
Page : 274 pages
File Size : 43,5 Mb
Release : 1977
Category : Banach spaces
ISBN : OCLC:610510070
Author : J. Lindenstrauss,L. Tzafriri
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 49,9 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9783662353479
Author : Joram Lindenstrauss,Lior Tzafriri
Publisher : Springer
Page : 264 pages
File Size : 41,6 Mb
Release : 1977
Category : Mathematics
ISBN : 3540088881
Author : Joram Lindenstrauss
Publisher : Unknown
Page : 128 pages
File Size : 54,7 Mb
Release : 1977
Category : Electronic
ISBN : OCLC:664567167
Author : Joram Lindenstrauss,Lior Tzafriri
Publisher : Boom Koninklijke Uitgevers
Page : 484 pages
File Size : 42,6 Mb
Release : 1996
Category : Mathematics
ISBN : 3540606289
Springer-Verlag began publishing books in higher mathematics in 1920, when the seriesGrundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later a new series Ergebnisse der Mathematik und ihrer Grenzgebiete, survey reports of recent mathematical research, was added. Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject. Springer is reissuing a selected few of these highly successful books in a new, inexpensive sofcover edition to make them easily accessible to younger generations of students and researchers. Classical Banach Spaces I and II From the reviews: “...the book is written in the best tradition of the beautiful series in which it appears. The material it presents is hard to find in other books. For people working in the structure theory of Banach spaces it will be most valuable as a source of references and inspiration. For those who wish to learn the subject the book deserves a warm welcome too.” Medelingen van het Wiskundig Genootschap “...The geometry of Banach lattices is a rich, beautiful, ... and rewarding subject. The proof is in the reading and perusing of the masterpiece.” Zentrablatt für Mathematik
Author : S. B. Chae
Publisher : CRC Press
Page : 444 pages
File Size : 53,7 Mb
Release : 1985-04-29
Category : Mathematics
ISBN : 0824772318
This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.
Author : Soo Bong Chae
Publisher : CRC Press
Page : 442 pages
File Size : 47,7 Mb
Release : 2020-11-26
Category : Mathematics
ISBN : 9781000146530
This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.
Author : J Lindenstrauss
Publisher : Unknown
Page : 0 pages
File Size : 55,6 Mb
Release : 2008
Category : Electronic
ISBN : OCLC:1316452600
Author : Joseph Diestel
Publisher : Unknown
Page : 261 pages
File Size : 43,7 Mb
Release : 1984
Category : Banach spaces
ISBN : 7506201224
Author : Marián Fabian,Petr Habala,Petr Hájek,Vicente Montesinos,Václav Zizler
Publisher : Springer Science & Business Media
Page : 820 pages
File Size : 46,6 Mb
Release : 2011-02-04
Category : Mathematics
ISBN : 9781441975157
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.
