Overview
- Develops the theory of Banach algebras
- Features novel chapters on BSE norms, Arens regularity, and strong Arens irregularity
- Includes new results
Part of the book series: CMS/CAIMS Books in Mathematics (CMS/CAIMS BM, volume 12)
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Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Banach Function Algebras, Arens Regularity, and BSE Norms
Authors: Harold Garth Dales, Ali Ülger
Series Title: CMS/CAIMS Books in Mathematics
DOI: https://doi.org/10.1007/978-3-031-44532-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
Hardcover ISBN: 978-3-031-44531-6Published: 20 February 2024
Softcover ISBN: 978-3-031-44534-7Due: 22 March 2024
eBook ISBN: 978-3-031-44532-3Published: 19 February 2024
Series ISSN: 2730-650X
Series E-ISSN: 2730-6518
Edition Number: 1
Number of Pages: XII, 445
Number of Illustrations: 1 b/w illustrations, 1 illustrations in colour
Topics: Functional Analysis, Measure and Integration, Linear Algebra