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The extremal points of the range of a vector-valued measure

Published online by Cambridge University Press:  18 May 2009

I. Tweddle
I. Tweddle
Affiliation:
University of Stirling
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Extract

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Recently, several papers have investigated conditions under which the range of a vectorvalued measure is a compact convex set (see e.g. [1], [2], [3]). It therefore seems of interest to characterise the extremal points of the range in such cases.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 13 , Issue 1 , March 1972 , pp. 61 - 63
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

REFERENCES

1.Kingman, J. F. C. and Robertson, A. P., On a theorem of Lyapunov, J. London Math. Soc. 43 (1968), 347–351.CrossRefGoogle Scholar
2.Schmets, J., Sur une generalisation d'une théorème de Lyapounov, Bull. Soc. Royale Liège 35 (1966), 185–194.Google Scholar
3.Uhl, J. J. Jr, The range of a vector-valued measure, Proc. Amer. Math. Soc. 23 (1969), 158–163.Google Scholar