Lecture Notes in Mathematics

M-Ideals in Banach Spaces and Banach Algebras

Authors: Harmand, Peter, Werner, Dirk, Werner, Wend

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-47753-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-56814-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (6 chapters)

  • Basic theory of M-ideals

    Harmand, Peter (et al.)

    Pages 1-47

  • Geometric properties of M-ideals

    Harmand, Peter (et al.)

    Pages 49-100

  • Banach spaces which are M-ideals in their biduals

    Harmand, Peter (et al.)

    Pages 101-155

  • Banach spaces which are L-summands in their biduals

    Harmand, Peter (et al.)

    Pages 157-214

  • M-ideals in Banach algebras

    Harmand, Peter (et al.)

    Pages 215-261

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-47753-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-56814-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
M-Ideals in Banach Spaces and Banach Algebras
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1547
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47753-2
DOI
10.1007/BFb0084355
Softcover ISBN
978-3-540-56814-8
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 396
Topics