ENGLISH

A Course in Commutative Banach Algebras

By Eberhard Kaniuth (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2009
ISBN
978-0-387-72475-1, 978-0-387-72476-8
DOI
10.1007/978-0-387-72476-8
Language
english
Format
PDF
Filesize
3 MB (3570582 bytes)
Series
Graduate Texts in Mathematics 246
Edition
1
Pages
353\361
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Functional Analysis; Operator Theory

Description

Requiring only a basic knowledge of functional analysis, topology, complex analysis, measure theory and group theory, this book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The core are 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 aims at graduate students and can be used as a text for courses on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis.

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