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Banach Spaces of Continuous Functions as Dual Spaces: CMS Books in Mathematics

Autor H. G. Dales, F.K. Dashiell, Jr., A. T.-M. Lau, D. Strauss
en Limba Engleză Hardback – 27 dec 2016
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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Specificații

ISBN-13: 9783319323473
ISBN-10: 3319323474
Pagini: 280
Ilustrații: XIV, 277 p. 6 illus.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.59 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria CMS Books in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Introduction.- Banach Spaces and Banach Lattices.- Banach Algebras and C* Algebras.- Measures.- Hyper-Stonean Spaces.- The Banach Space.

Recenzii

“This monograph is said to be about dual C(K) spaces; but it contains a wealth of information on other related topics. … The book is very well structured and clearly written. The exposition is as self-contained as can be expected from a volume so slim.” (Timur Oikhberg, Mathematical Reviews, January, 2018)
“The material is presented in a meticulous and extremely well polished way. Readers will especially appreciate the detailed references that accompany the text. … Researchers of Banach spaces will profit a lot from this very welcome contribution to the literature.” (Dirk Werner, zbMATH 1368.46003, 2017)

Textul de pe ultima copertă

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.

Caracteristici

Includes a balance of well-known theorems and applications as well as new research and results Provides a clear account of background information in Stonean spaces, Banach spaces, Banach lattices, Banach algebras, and measure theory Discusses new approaches and syntheses of classical theorem with new examples Includes supplementary material: sn.pub/extras