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02450nam a22004575i 4500 |
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978-0-387-72476-8 |
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DE-He213 |
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20151204172253.0 |
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cr nn 008mamaa |
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|a 9780387724768
|9 978-0-387-72476-8
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|a 10.1007/978-0-387-72476-8
|2 doi
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|a QA319-329.9
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|a 515.7
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|a Kaniuth, Eberhard.
|e author.
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|a A Course in Commutative Banach Algebras
|h [electronic resource] /
|c by Eberhard Kaniuth.
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|a New York, NY :
|b Springer New York,
|c 2009.
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|a XII, 353 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Graduate Texts in Mathematics,
|x 0072-5285 ;
|v 246
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|a General Theory of Banach Algebras -- Gelfand Theory -- Functional Calculus, Shilov Boundary, and Applications -- Regularity and Related Properties -- Spectral Synthesis and Ideal Theory.
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|a 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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|a Mathematics.
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|a Functional analysis.
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|a Operator theory.
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|a Mathematics.
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|a Functional Analysis.
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| 650 |
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|a Operator Theory.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9780387724751
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| 830 |
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|a Graduate Texts in Mathematics,
|x 0072-5285 ;
|v 246
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|u http://dx.doi.org/10.1007/978-0-387-72476-8
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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