Banach Function Algebras, Arens Regularity, and BSE Norms / by Harold Garth Dales, Ali Ülger.

Format:

Book

Author/Creator:

Dales, Harold Garth.

Contributor:

Ülger, Ali.

Series:

CMS/CAIMS Books in Mathematics, 2730-6518 ; 12

Language:

English

Subjects (All):

Functional analysis.

Measure theory.

Algebras, Linear.

Functional Analysis.

Measure and Integration.

Linear Algebra.

Local Subjects:

Functional Analysis.

Measure and Integration.

Linear Algebra.

Physical Description:

1 online resource (452 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2024.

Summary:

This book is about semisimple Banach algebras with a focus on those that are commutative. After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties. Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results. The book is intended for those who are preparing to work in Banach algebras or who have been doing research in related areas.

Contents:

Banach spaces and operators

Banach algebras

Banach function algebras

Banach algebras on locally compact groups

BSE norms and BSE algebras

Arens regularity.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9783031445323

3031445325

OCLC:

1423132524