Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: CMS Books in Mathematics (CMSBM)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
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)
Authors and Affiliations
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Department of Mathematics and Statistics, University of Lancaster, Lancaster, United Kingdom
H. G. Dales
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Center of Excellence in Computation Algebra, and Topology (CECAT), Chapman University, Orange, USA
F.K. Dashiell, Jr.
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Department of Mathematical Sciences, University of Alberta, EDMONTON, Canada
A.T.-M. Lau
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Department of Pure Mathematics, University of Leeds, Leeds, United Kingdom
D. Strauss
Bibliographic Information
Book Title: Banach Spaces of Continuous Functions as Dual Spaces
Authors: H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau, D. Strauss
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-3-319-32349-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-32347-3Published: 27 December 2016
Softcover ISBN: 978-3-319-81263-2Published: 07 July 2018
eBook ISBN: 978-3-319-32349-7Published: 13 December 2016
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: XIV, 277
Number of Illustrations: 6 b/w illustrations
Topics: Order, Lattices, Ordered Algebraic Structures, Algebraic Topology, K-Theory