Characterizations of Banach Spaces Not Containing L P1 S

Characterizations of Banach Spaces Not Containing L P1 S PDF Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 163

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Characterizations of Banach Spaces Not Containing L P1 S

Characterizations of Banach Spaces Not Containing L P1 S PDF Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 163

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Characterizations of Banach Spaces Not Containing L1

Characterizations of Banach Spaces Not Containing L1 PDF Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 178

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Characterizations of Banach Spaces Not Containing L3

Characterizations of Banach Spaces Not Containing L3 PDF Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 163

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Characterizations of Banach Spaces Not Containing L2

Characterizations of Banach Spaces Not Containing L2 PDF Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 163

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Separably Injective Banach Spaces

Separably Injective Banach Spaces PDF Author: Antonio Avilés
Publisher: Springer
ISBN: 3319147412
Category : Mathematics
Languages : en
Pages : 236

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Book Description
This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as l∞/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L∞ spaces and spaces of universal disposition). It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines of research.

Martingales in Banach Spaces

Martingales in Banach Spaces PDF Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 1316679462
Category : Mathematics
Languages : en
Pages : 591

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Book Description
This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.

History of Banach Spaces and Linear Operators

History of Banach Spaces and Linear Operators PDF Author: Albrecht Pietsch
Publisher: Springer Science & Business Media
ISBN: 0817645969
Category : Mathematics
Languages : en
Pages : 877

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Book Description
Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.

An Operator Characterisation of Banach Spaces Wich Do Not Contain Any Isomorphic Copy of L1

An Operator Characterisation of Banach Spaces Wich Do Not Contain Any Isomorphic Copy of L1 PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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An Operator Characterisation of Banach Spaces which Do Not Contain Any Isomorphic Copy of L1

An Operator Characterisation of Banach Spaces which Do Not Contain Any Isomorphic Copy of L1 PDF Author: Kazimierz Musiał (matematyka)
Publisher:
ISBN:
Category :
Languages : en
Pages : 8

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Classical Banach Spaces I

Classical Banach Spaces I PDF Author: J. Lindenstrauss
Publisher: Springer Science & Business Media
ISBN: 3642665578
Category : Mathematics
Languages : en
Pages : 202

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Book Description
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.