Descriptive Topology and Functional Analysis

In Honour of Jerzy Kakol’s 60th Birthday

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Topology
Cover of the book Descriptive Topology and Functional Analysis by , Springer International Publishing
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Author: ISBN: 9783319052243
Publisher: Springer International Publishing Publication: June 30, 2014
Imprint: Springer Language: English
Author:
ISBN: 9783319052243
Publisher: Springer International Publishing
Publication: June 30, 2014
Imprint: Springer
Language: English

Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. The second section is devoted to Banach spaces, Banach algebras and operator theory. Each chapter presents a lot of worthwhile and important recent theorems with an abstract discussing the material in the chapter. Each chapter can almost be seen as a survey covering a particular area.

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Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. The second section is devoted to Banach spaces, Banach algebras and operator theory. Each chapter presents a lot of worthwhile and important recent theorems with an abstract discussing the material in the chapter. Each chapter can almost be seen as a survey covering a particular area.

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