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ArticleOriginal scientific text

Title

Representations of bimeasures

Authors 1

Affiliations

  1. Department of Mathematics, University of Turku, SF-20500 Turku, Finland

Abstract

Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.

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Studia Mathematica
1993/104/3
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Pages:
269-278
Main language of publication
English
Received
1992-05-13
Accepted
1992-11-25
Published
1993
Exact and natural sciences