A Course in Commutative Banach Algebras: 246 - Rilegato

Libro 65 di 180: Graduate Texts in Mathematics

Kaniuth, Eberhard

 
9780387724751: A Course in Commutative Banach Algebras: 246

Sinossi

Banach algebras are Banach spaces equipped with a continuous multipli- tion. Much of operator theory is best approached from a Banach algebra point of view and many questions in complex analysis (such as approximation by polynomials or rational functions in speci?c - mains) are best understood within the framework of Banach algebras.

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Dalla quarta di copertina

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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9781441924797: A Course in Commutative Banach Algebras: 246

Edizione in evidenza

ISBN 10:  1441924795 ISBN 13:  9781441924797
Casa editrice: Springer, 2010
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