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Saks Spaces and Applications to Functional Analysis

Saks Spaces and Applications to Functional Analysis

J.B. Cooper


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Book Details


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.

"...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 für Mathematik