Saks Spaces and Applications to Functional Analysis: Volume 139
J.B. Cooper(Author)
North-Holland (Publisher)
2nd Edition
Published on 1. April 2000
Book
Hardback
371 pages
978-0-444-70219-7 (ISBN)
Article exhausted; check different version
Description
The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated.
The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.
The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated.
The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.
The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.
The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated.
The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.
Reviews / Votes
"...a beautiful exposition of the general theory and applications of Saks Spaces in Functional Analysis... very useful to workers in this and related fields..." --Zentralblatt fuer Mathematik"...a beautiful exposition of the general theory and applications of Saks Spaces in Functional Analysis... very useful to workers in this and related fields..." --Zentralblatt fuer Mathematik
More details
Series
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
ISBN-13
978-0-444-70219-7 (9780444702197)
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Schweitzer Classification
Other editions
Additional editions

J. B. Cooper
Saks Spaces and Applications to Functional Analysis
E-Book
08/2011
2nd Edition
Elsevier
€195.00
Available for download
Content
I. Mixed TopologiesBasic Theory. Examples. Saks Spaces. Special Results. Miscellanea
II. Spaces of Bounded, Continuous FunctionsThe Strict Topologies. Algebras of Bounded, Continuous Functions. Duality Theory. Vector-Valued Functions. Generalised Strict Topologies. Representation of Operators on C8(X). Uniform Measures
III. Spaces of Bounded, Measurable FunctionsThe Mixed Topologies. Linear Operators and Vector Measures. Vector-Valued Measurable Functions. Measurable and Integrable Functions with Values in a Saks Space
IV. Von Neumann AlgebrasThe Algebra of Operators in Hilbert Spaces. Von Neumann Algebras. Spectral Theory in Hilbert Space
V. Spaces of Bounded Holomorphic FunctionsMixed Topologies on H8. The Mixed Topologies on H8(U). The Algebra H8. The H8-Functional Calculus for Completely Non Unitary Contractions. The Mackey Topology of H8
II. Spaces of Bounded, Continuous FunctionsThe Strict Topologies. Algebras of Bounded, Continuous Functions. Duality Theory. Vector-Valued Functions. Generalised Strict Topologies. Representation of Operators on C8(X). Uniform Measures
III. Spaces of Bounded, Measurable FunctionsThe Mixed Topologies. Linear Operators and Vector Measures. Vector-Valued Measurable Functions. Measurable and Integrable Functions with Values in a Saks Space
IV. Von Neumann AlgebrasThe Algebra of Operators in Hilbert Spaces. Von Neumann Algebras. Spectral Theory in Hilbert Space
V. Spaces of Bounded Holomorphic FunctionsMixed Topologies on H8. The Mixed Topologies on H8(U). The Algebra H8. The H8-Functional Calculus for Completely Non Unitary Contractions. The Mackey Topology of H8