M-Ideals in Banach Spaces and Banach Algebras / by Peter Harmand, Dirk Werner, Wend Werner

Werner, Dirk ; Werner, Wend

Englisch

Berlin, Heidelberg : Springer Berlin Heidelberg, 1993

Online-Ressource (VIII, 396 p, online resource)

Druckausg.: Harmand, Peter: M-ideals in Banach spaces and Banach algebras. - Berlin : Springer, 1993. - VIII, 387 S.

978-3-540-47753-2

Weitere Ausgaben: 978-3-540-56814-8 (Druckausgabe)

DOI: 10.1007/BFb0084355

*Banach-Raum / M-Ideal

*Banach-Algebra / M-Ideal

*Global analysis (Mathematics) ; Mathematics ; Mathematical analysis.

Klassifikation der Library of Congress: QA299.6-433

Dewey Dezimal-Klassifikation: 515

Regensburger Verbund-Klassifikation: SI 850: SA-SP Mathematik / SI Schriftenreihen / Lecture notes in mathematics

Mathematics Subject Classification: *46B20

Mathematics Subject Classification: 46B25

Mathematics Subject Classification: 46B22

Mathematics Subject Classification: 46-02

Mathematics Subject Classification: 46B28

Book Industry Communication: PBK

bisacsh: MAT034000

This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included

https://zbmath.org/?q=an:0789.46011 [Zentralblatt MATH]

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