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

By Eberhard Kaniuth

Banach algebras are Banach areas outfitted with a continuing multipli- tion. In roughterms,there arethree varieties ofthem:algebrasofboundedlinear operators on Banach areas with composition and the operator norm, al- bras which includes 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 idea is better approached from a Banach algebra standpoint and plenty of questions in advanced research (such as approximation via polynomials or rational services in speci?c - mains) are most sensible understood in the framework of Banach algebras. additionally, the learn of a in the community compact Abelian team is heavily with regards to the examine 1 of the gang algebra L (G). There exist a wealthy literature and ideal texts on each one unmarried type of Banach algebras, particularly on uniform algebras and on operator algebras. This paintings is meant as a textbook which supplies a radical creation to the idea of commutative Banach algebras and stresses the purposes to commutative harmonic research whereas additionally referring to uniform algebras. during this feel and function the publication resembles Larsen’s classical textual content [75] which stocks many topics and has been a precious source. besides the fact that, for complicated graduate scholars and researchers i've got coated a number of subject matters that have now not been released in books earlier than, 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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