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Overview"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." Full Product DetailsAuthor: A. Ya Helemskii (Faculty of Mechanics and Mathematics, Faculty of Mechanics and Mathematics, Moscow State University, CIS) , A. West , A. West , A. WestPublisher: Oxford University Press Imprint: Clarendon Press Dimensions: Width: 16.20cm , Height: 3.10cm , Length: 24.10cm Weight: 0.781kg ISBN: 9780198535782ISBN 10: 0198535783 Pages: 462 Publication Date: 20 May 1993 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order ![]() Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsChapter 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 notationReviewsLong-awaited. --Mathematical Reviews Long-awaited. --Mathematical Reviews<br> Author InformationTab Content 6Author Website:Countries AvailableAll regions |