Classical Sequences In Banach Spates


Classical Sequences In Banach Spates
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Classical Sequences In Banach Spates


Classical Sequences In Banach Spates
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Author : Sylvia Guerre-Delabriere
language : en
Publisher: CRC Press
Release Date : 1992-07-21

Classical Sequences In Banach Spates written by Sylvia Guerre-Delabriere and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-21 with Mathematics categories.




Classical Banach Spaces I


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.



Calkin Algebras And Algebras Of Operators On Banach Spates


Calkin Algebras And Algebras Of Operators On Banach Spates
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Author : Caradus
language : en
Publisher: Routledge
Release Date : 2017-10-19

Calkin Algebras And Algebras Of Operators On Banach Spates written by Caradus and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.


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.



Classical Banach Spaces


Classical Banach Spaces
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Author : Joram Lindenstrauss
language : en
Publisher:
Release Date : 1977

Classical Banach Spaces written by Joram Lindenstrauss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Banach spaces categories.




Classical Banach Spaces Ii


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


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.



Sequence Spaces And Applications


Sequence Spaces And Applications
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Author : Pawan K. Jain
language : en
Publisher: Alpha Science Int'l Ltd.
Release Date : 1999

Sequence Spaces And Applications written by Pawan K. Jain and has been published by Alpha Science Int'l Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


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.



Classical Banach Spaces


Classical Banach Spaces
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Author : Joram Lindenstrauss
language : en
Publisher: Springer
Release Date : 1977

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 1977 with Mathematics categories.




Sequences And Series In Banach Spaces


Sequences And Series In Banach Spaces
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Author : J. Diestel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Sequences And Series In Banach Spaces written by J. Diestel 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 2012-12-06 with Mathematics categories.


This volume presents answers to some natural questions of a general analytic character that arise in the theory of Banach spaces. I believe that altogether too many of the results presented herein are unknown to the active abstract analysts, and this is not as it should be. Banach space theory has much to offer the prac titioners of analysis; unfortunately, some of the general principles that motivate the theory and make accessible many of its stunning achievements are couched in the technical jargon of the area, thereby making it unapproachable to one unwilling to spend considerable time and effort in deciphering the jargon. With this in mind, I have concentrated on presenting what I believe are basic phenomena in Banach spaces that any analyst can appreciate, enjoy, and perhaps even use. The topics covered have at least one serious omission: the beautiful and powerful theory of type and cotype. To be quite frank, I could not say what I wanted to say about this subject without increasing the length of the text by at least 75 percent. Even then, the words would not have done as much good as the advice to seek out the rich Seminaire Maurey-Schwartz lecture notes, wherein the theory's development can be traced from its conception. Again, the treasured volumes of Lindenstrauss and Tzafriri also present much of the theory of type and cotype and are must reading for those really interested in Banach space theory.



Introductory Theory Of Topological Vector Spates


Introductory Theory Of Topological Vector Spates
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Author : Yau-Chuen Wong
language : en
Publisher: Routledge
Release Date : 2019-01-25

Introductory Theory Of Topological Vector Spates written by Yau-Chuen Wong and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-25 with Mathematics categories.


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.