Banach Function Algebras, Arens Regularity, and BSE Norms (CMS/CAIMS Books in Mathematics, 12)

Dales, Harold Garth, lger, Ali

ISBN 10: 3031445317 / ISBN 13: 9783031445316

Published by Springer, 2024

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Bibliographic Details

• Title: Banach Function Algebras, Arens Regularity, and BSE Norms (CMS/CAIMS Books in Mathematics, 12)
• Publisher: Springer
• Publication Date: 2024
• Language: English
• ISBN 10: 3031445317
• ISBN 13: 9783031445316
• Binding: hardcover
• Condition: New
• Book Type: book

About this title

Synopsis

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.