Banach Spaces Of Continuous Functions As Dual Spaces


Banach Spaces Of Continuous Functions As Dual Spaces
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Banach Spaces Of Continuous Functions As Dual Spaces


Banach Spaces Of Continuous Functions As Dual Spaces
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Author : H. G. Dales
language : en
Publisher: Springer
Release Date : 2016-12-13

Banach Spaces Of Continuous Functions As Dual Spaces written by H. G. Dales and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-13 with Mathematics categories.


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.



Banach Spaces Of Continuous Functions


Banach Spaces Of Continuous Functions
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Author : Zbigniew Semadeni
language : en
Publisher:
Release Date : 1971

Banach Spaces Of Continuous Functions written by Zbigniew Semadeni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Banach spaces categories.




Schauder Bases In Banach Spaces Of Continuous Functions


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.




Spaces Of Continuous Functions


Spaces Of Continuous Functions
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Author : G.L.M. Groenewegen
language : en
Publisher: Springer
Release Date : 2016-06-17

Spaces Of Continuous Functions written by G.L.M. Groenewegen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Mathematics categories.


The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given.Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.



Function Spaces


Function Spaces
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Author : Krzysztof Jarov
language : en
Publisher: CRC Press
Release Date : 2020-08-26

Function Spaces written by Krzysztof Jarov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.


This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.



Separably Injective Banach Spaces


Separably Injective Banach Spaces
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Author : Antonio Avilés
language : en
Publisher: Springer
Release Date : 2016-03-26

Separably Injective Banach Spaces written by Antonio Avilés and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-26 with Mathematics categories.


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.



General Topology In Banach Spaces


General Topology In Banach Spaces
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Author : Taras Banakh
language : en
Publisher:
Release Date : 2001

General Topology In Banach Spaces written by Taras Banakh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.




M Ideals In Banach Spaces And Banach Algebras


M Ideals In Banach Spaces And Banach Algebras
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Author : Peter Harmand
language : en
Publisher: Springer
Release Date : 2006-11-15

M Ideals In Banach Spaces And Banach Algebras written by Peter Harmand 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.


This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.



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.



Banach Spaces Of Vector Valued Functions


Banach Spaces Of Vector Valued Functions
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Author : Pilar Cembranos
language : en
Publisher: Springer
Release Date : 2006-11-14

Banach Spaces Of Vector Valued Functions written by Pilar Cembranos 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.


"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.