Functional Analysis

Download e-book for iPad: A Course in Commutative Banach Algebras: 246 (Graduate Texts by Eberhard Kaniuth

By Eberhard Kaniuth

ISBN-10: 0387724753

ISBN-13: 9780387724751

ISBN-10: 1441924795

ISBN-13: 9781441924797

Banach algebras are Banach areas built with a continuing multipli- tion. In roughterms,there arethree forms ofthem:algebrasofboundedlinear operators on Banach areas with composition and the operator norm, al- bras such as bounded non-stop capabilities on topological areas with pointwise product and the uniform norm, and algebrasof integrable features on in the community compact teams with convolution as multiplication. those all play a key position in smooth research. a lot of operator thought is healthier approached from a Banach algebra perspective and lots of questions in complicated research (such as approximation by means of polynomials or rational features in speci?c - mains) are top understood in the framework of Banach algebras. additionally, the examine of a in the community compact Abelian staff is heavily with regards to the research 1 of the gang algebra L (G). There exist a wealthy literature and perfect texts on every one unmarried classification of Banach algebras, significantly on uniform algebras and on operator algebras. This paintings is meant as a textbook which supplies a radical creation to the speculation of commutative Banach algebras and stresses the purposes to commutative harmonic research whereas additionally relating uniform algebras. during this experience and objective the booklet resembles Larsen’s classical textual content [75] which stocks many issues and has been a precious source. even though, for complex graduate scholars and researchers i've got coated numerous issues that have now not been released in books prior to, together with a few magazine articles.

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A Course in Commutative Banach Algebras: 246 (Graduate Texts in Mathematics) by Eberhard Kaniuth

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