Banach and locally convex algebras

著者

• Khelemskiĭ, A. I︠A︡. (Aleksandr I︠A︡kovlevich)

書誌事項

Banach and locally convex algebras

A.Ya. Helemskii ; translated by A. West

Clarendon Press , Oxford University Press, 1993

タイトル別名

Banakhovy i polinormirovannye algebry

内容説明・目次

内容説明

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.

目次

• 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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA20410982
• ISBN:
  • 0198535783
• LCCN: 92043557
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: rus
• 出版地: Oxford, England,New York
• ページ数/冊数: xv, 446 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA326
  • DC20 : 512/.55
• 件名:
  • LCSH : Banach algebras