ENGLISH

Banach Spaces of Continuous Functions as Dual Spaces

By Jr. , H. G. Dales , F.K. Dashiell , A.T.-M. Lau , D. Strauss (auth.)

Book information

Publisher
Springer International Publishing
Year
2016
ISBN
978-3-319-32347-3, 978-3-319-32349-7
DOI
10.1007/978-3-319-32349-7
Language
english
Format
PDF
Filesize
4 MB (4219413 bytes)
Series
CMS Books in Mathematics
Edition
1
Pages
XIV, 277\286
Time added
2016-12-28 02:00:00
LatticesOrderOrdered Algebraic Structures;Algebraic Topology;K-

Description

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.

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