Banach Spaces of Continuous Functions as Dual Spaces

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Synopsis

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.

Book details

Edition:
1st ed. 2016
Series:
CMS Books in Mathematics
Author:
H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau, D. Strauss
ISBN:
9783319323497
Related ISBNs:
9783319323473
Publisher:
Springer International Publishing
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2019-09-18
Usage restrictions:
Copyright
Copyright date:
2016
Copyright by:
Springer International Publishing, Cham 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction