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Banach Spaces of Continuous Functions as Dual Spaces [electronic resource] / by H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau, D. Strauss.

By: Contributor(s): Material type: TextTextSeries: CMS Books in Mathematics, Ouvrages de mathématiques de la SMCPublisher: Cham : Springer International Publishing : Imprint: Springer, 2016Description: XIV, 277 p. 6 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319323497
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 511.33 23
LOC classification:
  • QA172-172.4
  • QA171.5
Online resources:
Contents:
Introduction -- Banach Spaces and Banach Lattices -- Banach Algebras and C* Algebras -- Measures -- Hyper-Stonean Spaces -- The Banach Space.
In: Springer eBooksSummary: 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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Introduction -- Banach Spaces and Banach Lattices -- Banach Algebras and C* Algebras -- Measures -- Hyper-Stonean Spaces -- The Banach Space.

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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