Banach Spaces of Continuous Functions as Dual Spaces

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Banach Spaces of Continuous Functions as Dual Spaces by H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau, D. Strauss, Springer International Publishing
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Author: H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau, D. Strauss ISBN: 9783319323497
Publisher: Springer International Publishing Publication: December 13, 2016
Imprint: Springer Language: English
Author: H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau, D. Strauss
ISBN: 9783319323497
Publisher: Springer International Publishing
Publication: December 13, 2016
Imprint: Springer
Language: English

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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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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