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 continual multipli- tion. In roughterms,there arethree varieties ofthem:algebrasofboundedlinear operators on Banach areas with composition and the operator norm, al- bras along with bounded non-stop capabilities on topological areas with pointwise product and the uniform norm, and algebrasof integrable services on in the community compact teams with convolution as multiplication. those all play a key function in glossy research. a lot of operator thought is better approached from a Banach algebra viewpoint and lots of questions in complicated research (such as approximation via polynomials or rational services in speci?c - mains) are top understood in the framework of Banach algebras. additionally, the examine of a in the neighborhood compact Abelian workforce 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, significantly on uniform algebras and on operator algebras. This paintings is meant as a textbook which gives a radical creation to the speculation of commutative Banach algebras and stresses the functions to commutative harmonic research whereas additionally concerning uniform algebras. during this experience and goal the publication resembles Larsen’s classical textual content [75] which stocks many subject matters and has been a priceless source. despite the fact that, for complex graduate scholars and researchers i've got lined numerous subject matters that have no longer 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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