A Course in Commutative Banach Algebras

Language: English

Published by Springer, Copernicus, 2010

1441924795 / 9781441924797

Series: Book 65 of 180 - Graduate Texts in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - Banach algebras are Banach spaces equipped with a continuous multipli- tion. In roughterms,there arethree types ofthem:algebrasofboundedlinear operators on Banach spaces with composition and the operator norm, al- bras consisting of bounded continuous functions on topological spaces with pointwise product and the uniform norm, and algebrasof integrable functions on locally compact groups with convolution as multiplication. These all play a key role in modern analysis. 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. Also, the study of a locally compact Abelian group is closely related to the study 1 of the group algebra L (G). There exist a rich literature and excellent texts on each single class of Banach algebras, notably on uniform algebras and on operator algebras. This work is intended as a textbook which provides a thorough introduction to the theory of commutative Banach algebras and stresses the applications to commutative harmonic analysis while also touching on uniform algebras. In this sense and purpose the book resembles Larsen's classical text [75] which shares many themes and has been a valuable resource. However, for advanced graduate students and researchers I have covered several topics which have not been published in books before, including some journal articles.

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Title
A Course in Commutative Banach Algebras
Author
Eberhard Kaniuth
Publisher
Springer, Copernicus
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1441924795
ISBN 13
9781441924797
Item weight
557 grams
Dimensions
235x155x20 mm
Series
Book 65 of 180: Graduate Texts in Mathematics

AHA-BUCH GmbH

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