Convergence Structures and Applications to Functional Analysis

Author:   R. Beattie ,  Heinz-Peter Butzmann
Publisher:   Springer-Verlag New York Inc.
Edition:   2002 ed.
ISBN:  

9781402005664


Pages:   264
Publication Date:   31 March 2002
Format:   Hardback
Availability:   In Print   Availability explained
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Convergence Structures and Applications to Functional Analysis


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Overview

This text offers an introduction to the theory and methods of convergence spaces and provides concrete applications to the problems of functional analysis. It highlights the role of continuous convergence, a convergence structure particularly appropriate to function spaces, and demonstrates that it provides an excellent dual structure for both topological groups and topological vector spaces. This text should 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.

Full Product Details

Author:   R. Beattie ,  Heinz-Peter Butzmann
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   1.270kg
ISBN:  

9781402005664


ISBN 10:   1402005660
Pages:   264
Publication Date:   31 March 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Convergence spaces.- 2 Uniform convergence spaces.- 3 Convergence vector spaces.- 4 Duality.- 5 Hahn-Banach extension theorems.- 6 The closed graph theorem.- 7 The Banach-Steinhaus theorem.- 8 Duality theory for convergence groups.- List of Notations.

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