Convergence Structures and Applications to Functional Analysis

Name: Convergence Structures and Applications to Functional Analysis
Brand: Springer Netherlands
SKU: 9789048159949
Price: 551.23 RON
Availability: InStock

Autor: R. Beattie, Heinz-Peter Butzmann

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Editura: Springer Netherlands

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This text offers a rigorous introduction into the theory and methods of convergence spaces and gives...

Informații despre carte

Autor

R. Beattie, Heinz-Peter Butzmann

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

264

EAN

9789048159949

ISBN

9048159946

Enbook ID

01974455

Editura

Springer Netherlands

Greutate

433

Dimensiuni

160 x 240 x 14

Descriere completă

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.

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Convergence Structures and Applications to Functional Analysis

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