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A Course in Commutative Banach Algebras (Graduate Texts in Mathematics, 246) by Kaniuth, Eberhard is a nonfiction available to read on EtoBox.

What is A Course in Commutative Banach Algebras (Graduate Texts in Mathematics, 246) about?

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 unif

Who reads A Course in Commutative Banach Algebras (Graduate Texts in Mathematics, 246)?

Author

Kaniuth, Eberhard

Publisher

Springer US

Published

2009

Language

EN

ISBN

9781441924797

Category

nonfiction

Subjects

Mathematics, Stem