Banach algebras and the general theory of *-algebras
著者
書誌事項
Banach algebras and the general theory of *-algebras
(Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 79)
Cambridge University Press, 2001
- [2]
- v. 2 pt. 1 : pbk
- v. 2 pt. 2 : pbk
- タイトル別名
-
*-algebras
Banach algebras and the general theory of *-algebras II
大学図書館所蔵 件 / 全69件
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v. 2415.5:P 180011039153,
v. 2 pt. 1 : pbk415.5:P 180025402801, v. 2 pt. 2 : pbk415.5:P 180025402819 -
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注記
Bibliography: p. 1491-[1599]
Includes [general] and symbol indexes
内容説明・目次
内容説明
This is the second volume of a two-volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. The author emphasizes the roles of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. Proofs are presented in complete detail at a level accessible to graduate students. The books will become the standard reference for the general theory of *-algebras. This second volume deals with *-algebras. Chapter 9 develops the theory of *-algebras without additional restrictions. Chapter 10 proves nearly all the results previously known for Banach *-algebras and hermitian Banach *-algebras for *-algebras with various essentially algebraic restrictions. Chapter 11 restates the previous results in terms of Banach *-algebras and uses them to prove results explicitly involving the complete norm. Chapter 12 is devoted to locally compact groups and the *-algebras related to them.
目次
- 9. *-algebras
- 10. Special *-algebras
- 11. Banach *-algebras
- 12. Locally compact groups and their *-algebras
- Bibliography
- Index
- Symbol index.
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