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Banach and Locally Convex Algebras : Oxford Science Publications - A. Ya Helemskii

Banach and Locally Convex Algebras

Oxford Science Publications

Hardcover Published: 20th May 1993
ISBN: 9780198535782
Number Of Pages: 464

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A reference textbook that summarizes the "algebra of analysis" that includes some mention of the contemporary trends in the development of history. This text provides an up-to-date account of Banach and locally convex algebras with emphasis on general theory, representations and homology. In its description of general theory and in the examples it considers it is faithful to earlier traditions in the subject but differs from those books in being based on an approach through homological algebra. This approach leads Helemskii to consider topics not covered at this level in any other book. These topics include: complemented and uncomplemented ideal; projective and weak tensor products of banach algebras; Taylors multivariable holomorphic functional calculus; the Wedderburn decomposition of Banach algevras; a whole chapter on the homology of Banach algebras.

'This text provides an up-to-date account of Banach and locally convex algebras.' L'Enseignement Mathématique, 3-4 1993 `a useful and enjoyable book' Bulletin of the London Mathematical Society, 27, 1995 `Besides the mathematical quality of the book, the reviewer wants also to remark here the charming style of the presentation' C. Badea, Zbl. Math, 785

Chapter 0. Foundations Chapter I. Initial concepts and first results Chapter II. Around the spectrum Chapter III. Basic stock of examples Chapter IV. Commutative and star Banach algebras Chapter V. Polynormed algebras that are near to Banach algebras Chapter VI. Modules, they are also representations Chapter VII. Problems leading to homology and the elements of homology theory Bibliography Index Index of notation

ISBN: 9780198535782
ISBN-10: 0198535783
Series: Oxford Science Publications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 464
Published: 20th May 1993
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 2.54
Weight (kg): 0.9