Saks Spaces and Applications to Functional Analysis (Google eBook)

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Elsevier, Aug 18, 2011 - Mathematics - 371 pages
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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.

  

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Contents

Chapter I Mixed topologies
1
Chapter II Spaces of bounded continuous functions
106
Chapter III Spaces of bounded measurable functions
224
Chapter IV Von Neumann algebras
279
Chapter V Spaces of bounded holomorphic functions
317
Index of notations
364
Index of terms
368
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