Barycenters, pinnacle points, and denting points-Reference-Cited by-同舟云学术

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Barycenters, pinnacle points, and denting points

Published:1973 Issue:0 Volume:180 Page:497-503
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Khurana Surjit Singh

Abstract

Some properties of probability measures, on closed convex bounded sets in locally convex spaces, having barycenters are obtained. Also some geometric and measure-theoretic characterizations of pinnacle points are given, and a result about denting points is proved.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1973-180-00/S0002-9947-1973-0318438-8/S0002-9947-1973-0318438-8.pdf

Reference16 articles.

1. The part metric in convex sets;Bauer, Heinz;Pacific J. Math.,1969

2. Barycenters of measures on certain noncompact convex sets;Bourgin, Richard D.;Trans. Amer. Math. Soc.,1971

3. G. Choquet, Lectures on analysis. Vols. I, II, III, Benjamin, New York, 1969. MR 40 #3252; #3253; #3254.

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

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Riesz Theorem;Handbook of Measure Theory;2002

2. On the Radon-Nikodym theorem in locally convex spaces;Measure Theory;1976

3. The Radon-Nikodým theorem for vector measures;Lecture Notes in Mathematics;1975

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