Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

Radon-Nikodým theorems for multimeasures and transition multimeasures


Author: Nikolaos S. Papageorgiou
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46G10, 28B05, 28B20

Retrieve articles in all journals with MSC: 46G10, 28B05, 28B20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1036989-4
Keywords: Multimeasure, transition multimeasure, vector measure, bounded variation, Radon-Nikodym property, selection theorem, measurable multifunctions
Article copyright: © Copyright 1991 American Mathematical Society