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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Radon-Nikodým theorems for multimeasures and transition multimeasures
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by Nikolaos S. Papageorgiou PDF
Proc. Amer. Math. Soc. 111 (1991), 465-474 Request permission

Abstract:

In this paper we prove two set valued Radon-Nikodym theorems. One for simple multimeasures and the other for transition multimeasures. In the process of proving the second theorem, we obtain a result concerning transition selectors of transition multimeasures, which is of independent interest.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 465-474
  • MSC: Primary 46G10; Secondary 28B05, 28B20
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1036989-4
  • MathSciNet review: 1036989