Bases In Banach Spaces Ii
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Bases In Banach Spaces Ii
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Author : Ivan Singer
language : en
Publisher: Springer
Release Date : 2014-01-14
Bases In Banach Spaces Ii written by Ivan Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-14 with Mathematics categories.
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).
Bases In Banach Spaces Ii
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Author : Ivan Singer
language : en
Publisher:
Release Date : 1984
Bases In Banach Spaces Ii written by Ivan Singer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Classical Banach Spaces Ii
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Author : J. Lindenstrauss
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
Classical Banach Spaces Ii written by J. Lindenstrauss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.
Classical Banach Spaces I
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Author : J. Lindenstrauss
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Classical Banach Spaces I written by J. Lindenstrauss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
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.
Bases In Banach Spaces 2
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Author :
language : en
Publisher:
Release Date : 1981
Bases In Banach Spaces 2 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Classical Banach Spaces
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Author : Joram Lindenstrauss
language : en
Publisher: Springer
Release Date : 2006-11-15
Classical Banach Spaces written by Joram Lindenstrauss and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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.
Schauder Bases In Banach Spaces Of Continuous Functions
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Author : Z. Semadeni
language : en
Publisher: Springer
Release Date : 2006-11-14
Schauder Bases In Banach Spaces Of Continuous Functions written by Z. Semadeni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Bases In Banach Spaces I
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Author : Ivan Singer
language : en
Publisher: Springer
Release Date : 1970
Bases In Banach Spaces I written by Ivan Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
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]).
Banach Spaces With A Unique Unconditional Basis Up To Permutation
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Author : Jean Bourgain
language : en
Publisher: American Mathematical Soc.
Release Date : 1985
Banach Spaces With A Unique Unconditional Basis Up To Permutation written by Jean Bourgain and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
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.
Bases In Banach Spaces
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Author : Ivan Singer
language : en
Publisher: Springer
Release Date : 1970
Bases In Banach Spaces written by Ivan Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.