Saks spaces and applications to functional analysis
Author(s)
Bibliographic Information
Saks spaces and applications to functional analysis
（North-Holland mathematics studies, 139）（Notas de matemática, 116）
North-Holland, 1987
2nd., rev. ed.
Available at / 37 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C00||14||1(2)87004917
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:510/C7772070046437
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Note
Includes bibliographies and indexes
Description and Table of Contents
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.
Table of Contents
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
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