· 2017· Book chapter
Calkin Algebras and Algebras of Operators on Banach SPates
- 174citations
- 2017year
Short summary
This book introduces the interaction between Banach algebra theory and the theory of bounded linear operators on Banach spaces, including classical Riesz-Schauder theory and Fredholm operators.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces the interaction between Banach algebra theory and bounded linear operators on Banach spaces.
- Includes classical Riesz-Schauder theory with recent developments.
- Covers Fredholm operators, semi-Fredholm operators, Riesz operators, and Calkin algebras.
- Assumes familiarity with functional analysis basics, with an introductory chapter on Banach algebras.
AI-generated from the title and abstract; the full text is not read.
Abstract
Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.
The authors' abstract, as published at the source., 2017 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics