Regularity of Baire measures-Reference-Cited by-同舟云学术

Regularity of Baire measures

Published:1970 Issue:1 Volume:26 Page:92-94
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dinculeanu N.,Lewis Paul W.

Abstract

In a recent paper N. Dinculeanu and I. Kluvánek showed that any Baire measure with values in a locally convex topological vector space is regular. Their construction depended heavily on the regularity of nonnegative Baire measures. In the present paper, a proof of the regularity is given which holds at once for the nonnegative case and the vector case.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1970-026-01/S0002-9939-1970-0260968-4/S0002-9939-1970-0260968-4.pdf

Reference5 articles.

1. On vector measures;Dinculeanu, N.;Proc. London Math. Soc. (3),1967

2. Pure and Applied Mathematics, Vol. 7;Dunford, Nelson,1958

3. Integration over vector-valued measures;Gould, G. G.;Proc. London Math. Soc. (3),1965

4. Measure Theory

5. Some regularity conditions on vector measures with finite semi-variation;Lewis, P. W.;Rev. Roumaine Math. Pures Appl.,1970

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