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CMS Books in Mathematics

Banach Spaces of Continuous Functions as Dual Spaces

Authors: Dales, H.G., Dashiell, Jr., F.K., Lau, A.T.-M., Strauss, D.

  • Includes a balance of well-known theorems and applications as well as new research and results
  • Provides a clear account of background information in Stonean spaces, Banach spaces, Banach lattices, Banach algebras, and measure theory
  • Discusses new approaches and syntheses of classical theorem with new examples
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-32349-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA in USD
  • ISBN 978-3-319-32347-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA in USD
  • ISBN 978-3-319-81263-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K)  of continuous functions on a locally compact  space K as the main example.  The study of C_0(K) has been an important area of functional analysis for many years.  It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings.  The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.

Reviews

“This monograph is said to be about dual C(K) spaces; but it contains a wealth of information on other related topics. … The book is very well structured and clearly written. The exposition is as self-contained as can be expected from a volume so slim.” (Timur Oikhberg, Mathematical Reviews, January, 2018)

“The material is presented in a meticulous and extremely well polished way. Readers will especially appreciate the detailed references that accompany the text. … Researchers of Banach spaces will profit a lot from this very welcome contribution to the literature.” (Dirk Werner, zbMATH 1368.46003, 2017)


Table of contents (6 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-32349-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA in USD
  • ISBN 978-3-319-32347-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA in USD
  • ISBN 978-3-319-81263-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Banach Spaces of Continuous Functions as Dual Spaces
Authors
Series Title
CMS Books in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-32349-7
DOI
10.1007/978-3-319-32349-7
Hardcover ISBN
978-3-319-32347-3
Softcover ISBN
978-3-319-81263-2
Series ISSN
1613-5237
Edition Number
1
Number of Pages
XIV, 277
Number of Illustrations
6 b/w illustrations
Topics