Banach and Locally Convex Algebras

Hardcover | October 1, 1994

byA. Ya HelemskiiTranslated byA. West

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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. Inits 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.

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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. Inits description of general theory and in the...

A. Ya Helemskii is at Moscow State University.

other books by A. Ya Helemskii

The Homology of Banach and Topological Algebras
The Homology of Banach and Topological Algebras

Hardcover|Oct 31 1989

$563.61 online$648.95list price(save 13%)
Format:HardcoverDimensions:462 pages, 9.21 × 6.14 × 1.22 inPublished:October 1, 1994Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198535783

ISBN - 13:9780198535782

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Table of Contents

Chapter 0. FoundationsChapter I. Initial concepts and first resultsChapter II. Around the spectrumChapter III. Basic stock of examplesChapter IV. Commutative and star Banach algebrasChapter V. Polynormed algebras that are near to Banach algebrasChapter VI. Modules, they are also representationsChapter VII. Problems leading to homology and the elements of homology theoryBibliographyIndexIndex of notation

Editorial Reviews

`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