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Additive Subgroups of Topological Vector Spaces by Wojciech Banaszczyk
Additive Subgroups of Topological Vector Spaces by Wojciech Banaszczyk
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Additive Subgroups of Topological Vector Spaces

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Description

The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. It is based on the original notion of a nuclear group, which includes LCA groups and nuclear locally convex spaces together with their additive subgroups, quotient groups and products. The text is written in the language of functional analysis. The methods used are taken mainly from geometry of numbers, geometry of Banach spaces and topological algebra. The reader is expected only to know the basics of functional analysis and abstract harmonic analysis.
Release date NZ
July 10th, 1991
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
VII, 182 p.
Pages
182
Dimensions
155x235x10
ISBN-13
9783540539179
Product ID
5689476

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