Convergence Structures And Applications To Analysis

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Convergence Structures And Applications To Analysis

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Author : S. Gähler
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1980-12-31

Convergence Structures And Applications To Analysis written by S. Gähler and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-12-31 with Mathematics categories.

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Convergence Structures And Applications To Functional Analysis

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Author : R. Beattie
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-03-31

Convergence Structures And Applications To Functional Analysis written by R. Beattie 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 2002-03-31 with Mathematics categories.

This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus. The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces. Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result. Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology.

Convergence Structures And Applications To Functional Analysis

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Author : R. Beattie
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Convergence Structures And Applications To Functional Analysis written by R. Beattie 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 2013-03-14 with Mathematics categories.

This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus. The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces. Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result. Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology.

Convergence Structures And Applications To Functional Analysis

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Author : R. Beattie
language : en
Publisher:
Release Date : 2014-01-15

Convergence Structures And Applications To Functional Analysis written by R. Beattie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Convergence Structures And Applications To Analysis

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Author : Mathematische Gesellschaft der DDR.
language : en
Publisher:
Release Date :

Convergence Structures And Applications To Analysis written by Mathematische Gesellschaft der DDR. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

U D T Convergence Structures And Applications To Analysis

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Author :
language : en
Publisher:
Release Date : 1980

U D T Convergence Structures And Applications To Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.

Recent Progress In General Topology

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Author : M. Husek
language : en
Publisher: Elsevier
Release Date : 1992-11-20

Recent Progress In General Topology written by M. Husek and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-20 with Mathematics categories.

These papers survey the developments in General Topology and the applications of it which have taken place since the mid 1980s. The book may be regarded as an update of some of the papers in the Handbook of Set-Theoretic Topology (eds. Kunen/Vaughan, North-Holland, 1984), which gives an almost complete picture of the state of the art of Set Theoretic Topology before 1984. In the present volume several important developments are surveyed that surfaced in the period 1984-1991. This volume may also be regarded as a partial update of Open Problems in Topology (eds. van Mill/Reed, North-Holland, 1990). Solutions to some of the original 1100 open problems are discussed and new problems are posed.

Convergence Structures And Applications To Analysis

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Author : Siegfried Gähler
language : en
Publisher:
Release Date : 1980

Convergence Structures And Applications To Analysis written by Siegfried Gähler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.

Handbook Of The History Of General Topology

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Author : C.E. Aull
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Handbook Of The History Of General Topology written by C.E. Aull 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 2013-04-17 with Mathematics categories.

This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.

Foundations Of Topology

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Author : Gerhard Preuß
language : en
Publisher: Springer
Release Date : 2002-10-31

Foundations Of Topology written by Gerhard Preuß and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-31 with Mathematics categories.

A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better framework for handling problems of a topological nature is used. In this setting semiuniform convergence spaces play an essential role. They include not only convergence structures such as topological structures and limit space structures, but also uniform convergence structures such as uniform structures and uniform limit space structures, and they are suitable for studying continuity, Cauchy continuity and uniform continuity as well as convergence structures in function spaces, e.g. simple convergence, continuous convergence and uniform convergence. Various interesting results are presented which cannot be obtained by using topological or uniform spaces in the usual context. The text is self-contained with the exception of the last chapter, where the intuitive concept of nearness is incorporated in Convenient Topology (there exist already excellent expositions on nearness spaces).