Convergence Structures and Applications to Functional Analysis

Convergence Structures and Applications to Functional Analysis
Author: R. Beattie
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 2013-03-14
Genre: Mathematics
ISBN: 9401599424


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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
Language: en
Pages: 272
Authors: R. Beattie
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysi
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Convergence Structures and Applications to Analysis
Language: en
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Type: BOOK - Published: - Publisher:

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