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Openness of vector measures and their integral maps

Part of: Maps and general types of spaces defined by maps Set functions, measures and integrals with values in abstract spaces

Published online by Cambridge University Press:  09 April 2009

Andrzej Spakowski
Andrzej Spakowski
Affiliation:
Institute of Mathematics Pedagogical University, Oleska 48, 45-951 Opole, Poland
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Abstract

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We prove that finite dimensional nonatomic vector measures and their integral maps are open maps. These results can be found in the literature, but unfortunately the proofs presented there are not complete.

MSC classification

Secondary: 28B05: Vector-valued set functions, measures and integrals 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 3 , December 1988 , pp. 351 - 359
Copyright
Copyright © Australian Mathematical Society 1988

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