Schauder Bases in Banach Spaces of Continuous Functions
Author: Z. Semadeni
Publisher: Springer
Published: 2006-11-14
Total Pages: 142
ISBN-13: 3540391436
DOWNLOAD EBOOK →Author: Z. Semadeni
Publisher: Springer
Published: 2006-11-14
Total Pages: 142
ISBN-13: 3540391436
DOWNLOAD EBOOK →Author: Zbigniew Semadeni
Publisher: Springer Verlag
Published: 1982
Total Pages: 135
ISBN-13: 9780387114811
DOWNLOAD EBOOK →Author: Ivan Singer
Publisher: Springer
Published: 1970
Total Pages: 688
ISBN-13:
DOWNLOAD EBOOK →This monograph attempts to present the results known today on bases in Banach spaces and some unsolved problems concerning them. Although this important part of the theory of Banach spaces has been studied for more than forty years by numerous mathematicians, the existing books on functional analysis (e. g. M. M. Day [43], A. Wilansky [263], R. E. Edwards [54]) contain only a few results on bases. A survey of the theory of bases in Banach spaces, up to 1963, has been presented in the expository papers [241], [242] and [243], which contain no proofs; although in the meantime the theory has rapidly deve1oped, much of the present monograph is based on those expository papers. Independently, a useful bibliography of papers on bases, up to 1963, was compiled by B. L. Sanders [219J. Due to the vastness of the field, the monograph is divided into two volumes, ofwhich this is the first (see the tab1e of contents). Some results and problems re1ated to those treated herein have been de1iberately planned to be inc1uded in Volume 11, where they will appear in their natural framework (see [242], [243]).
Author: Sylvia Guerre-Delabriere
Publisher: CRC Press
Published: 1992-07-21
Total Pages: 234
ISBN-13: 9780824787233
DOWNLOAD EBOOK →Author: Joram Lindenstrauss
Publisher: Springer
Published: 2006-11-15
Total Pages: 254
ISBN-13: 3540377328
DOWNLOAD EBOOK →Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren 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.
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: J. Lindenstrauss
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 202
ISBN-13: 3642665578
DOWNLOAD EBOOK →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: H. G. Dales
Publisher: Springer
Published: 2016-12-13
Total Pages: 286
ISBN-13: 3319323490
DOWNLOAD EBOOK →This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.