Banach Spaces of Continuous Functions as D... | preigu

Cover: 9783319323473 | Banach Spaces of Continuous Functions as Dual Spaces | Dales (u. a.)

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Sprache: Englisch

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Beschreibung

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.

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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2016
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiv 277 S. 6 s/w Illustr. 277 p. 6 illus.
ISBN-13:	9783319323473
ISBN-10:	3319323474
Sprache:	Englisch
Herstellernummer:	978-3-319-32347-3
Einband:	Gebunden
Autor:	Dales, H. G. Strauss, D. Lau, A. T. -M. Dashiell, Jr.
Auflage:	1st edition 2016
Hersteller:	Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 22 mm
Von/Mit:	H. G. Dales (u. a.)
Erscheinungsdatum:	27.12.2016
Gewicht:	0,606 kg

Artikel-ID: 108187718

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