ENGLISH

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

By Harold Garth Dales , Ali Ülger

Book information

Publisher
Springer
Year
2024
ISBN
3031445317, 9783031445316
Language
english
Format
PDF
Filesize
3 MB (2858887 bytes)
Edition
1st ed. 2024
Pages
457\454
Time added
2024-04-22 16:51:58

Description

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.

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