ENGLISH

A Course in Commutative Banach Algebras

By Eberhard Kaniuth

Book information

Publisher
Springer
Year
2008
ISBN
0387724753, 9780387724751
Language
english
Format
PDF
Filesize
5 MB (5662830 bytes)
Series
Graduate Texts in Mathematics
Pages
353\361
Time added
2023-02-03 21:00:12

Description

This book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The author has carefully chosen the most important topics within Banach algebra theory. At the core of this text are the chapters on Gelfand's theory, regularity and spectral synthesis. Special emphasis is placed on applications in abstract harmonic analysis and on treating many special classes of commutative Banach algebras, such as uniform algebras, group algebras and Beurling algebras, and tensor products. Detailed proofs and a variety of exercises are given. The book is intended for graduate students taking a course on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis.

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