Descriptive Topology and Functional Analysis

Beschreibung

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.
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.
Falls between two very active research areas: descriptive topology and functional analysis Each chapter brings together results obtained recently by several prestigious researchers in these fields Dedicated to Professor Jerzy Kakol, a leading expert in descriptive topology applied to functional analysis Includes supplementary material: sn.pub/extras

Autor*in

Juan Carlos Ferrando

Themen in »Descriptive Topology and Functional Analysis«

Function algebras and disk algebra Lynear dynamics and operators Spaces C(X) Topological groups t-equivalence

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