Banach Spaces of Continuous Functions as Dual Spaces

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

Banach Spaces of Continuous Functions as Dual Spaces
Format
Paperback
Publisher
Springer International Publishing AG
Country
Switzerland
Published
7 July 2018
Pages
277
ISBN
9783319812632

Banach Spaces of Continuous Functions as Dual Spaces

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

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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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