A Course in Commutative Banach Algebras (Hardcover, 1st Edition. 2nd Printing. 2008)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 246
Release date:	November 2008
First published:	2009
Authors:	Eberhard Kaniuth
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	353
Edition:	1st Edition. 2nd Printing. 2008
ISBN-13:	978-0-387-72475-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	0-387-72475-3
Barcode:	9780387724751

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