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Banach Spaces of Continuous Functions as Dual Spaces
Buch von H. G. Dales (u. a.)
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
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: CMS Books in Mathematics
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
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Dales, H. G.
Strauss, D.
Lau, A. T. -M.
Dashiell, Jr.
Auflage: 1st ed. 2016
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
CMS Books in Mathematics
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
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
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: CMS Books in Mathematics
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
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Dales, H. G.
Strauss, D.
Lau, A. T. -M.
Dashiell, Jr.
Auflage: 1st ed. 2016
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
CMS Books in Mathematics
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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