The range of a vector-valued measure

Helmes, Kurt

doi:10.1090/S0002-9939-1974-0352396-1

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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The range of a vector-valued measure
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by Kurt Helmes PDF

Proc. Amer. Math. Soc. 45 (1974), 309-310 Request permission

Abstract:

A short proof is given that the weak closure of the range of a totally nonatomic vector-valued measure is convex.

References

J. F. C. Kingman and A. P. Robertson, On a theorem of Lyapunov, J. London Math. Soc. 43 (1968), 347–351. MR 224768, DOI 10.1112/jlms/s1-43.1.347

Topologische Vektorräume

I. Tweddle, The range of a vector-valued measure, Glasgow Math. J. 13 (1972), 64–68. MR 310189, DOI 10.1017/S0017089500001385