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Author : Alfred David Andrew
Publisher : Unknown
Page : 132 pages
File Size : 45,8 Mb
Release : 1975
Category : Banach spaces
ISBN : STANFORD:36105025660171
Author : J. Lindenstrauss,L. Tzafriri
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 45,9 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 : Anonim
Publisher : Unknown
Page : 272 pages
File Size : 50,7 Mb
Release : 1977
Category : Aeronautics
ISBN : MINN:30000006324176
Author : Anonim
Publisher : Unknown
Page : 800 pages
File Size : 45,5 Mb
Release : 1976
Category : Dissertations, Academic
ISBN : STANFORD:36105119277734
Author : Z. Semadeni
Publisher : Springer
Page : 142 pages
File Size : 52,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540391432
Author : Jesus M. F. Castillo,William B. Johnson
Publisher : Cambridge University Press
Page : 371 pages
File Size : 52,9 Mb
Release : 2006-11-30
Category : Mathematics
ISBN : 9780521685689
A comprehensive overview of modern Banach space theory.
Author : Anonim
Publisher : Unknown
Page : 616 pages
File Size : 55,6 Mb
Release : 1973
Category : American literature
ISBN : UCSC:32106020978943
Includes entries for maps and atlases.
Author : Anonim
Publisher : Unknown
Page : 974 pages
File Size : 55,8 Mb
Release : 1984
Category : Dissertations, Academic
ISBN : UOM:39015065651617
Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Author : Anonim
Publisher : Unknown
Page : 1008 pages
File Size : 49,8 Mb
Release : 1984
Category : Dissertations, Academic
ISBN : STANFORD:36105118942288
Author : J. Lindenstrauss,L. Tzafriri
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 53,7 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9783662353479
Author : Aref Jeribi
Publisher : Springer Nature
Page : 509 pages
File Size : 42,5 Mb
Release : 2021-07-28
Category : Mathematics
ISBN : 9789811625282
This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.
Author : Marián Fabian,Petr Habala,Petr Hájek,Vicente Montesinos,Václav Zizler
Publisher : Springer Science & Business Media
Page : 820 pages
File Size : 46,7 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.
Author : Anonim
Publisher : Elsevier
Page : 1017 pages
File Size : 55,7 Mb
Release : 2001-08-15
Category : Mathematics
ISBN : 9780080532806
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.
Author : P. Wojtaszczyk
Publisher : Cambridge University Press
Page : 400 pages
File Size : 43,9 Mb
Release : 1996-08
Category : Mathematics
ISBN : 0521566754
This book is intended to be used with graduate courses in Banach space theory.
Author : Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky
Publisher : Birkhäuser
Page : 771 pages
File Size : 45,6 Mb
Release : 2016-07-05
Category : Mathematics
ISBN : 9783319187969
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.