Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Barycenters, pinnacle points, and denting points
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by Surjit Singh Khurana
Trans. Amer. Math. Soc. 180 (1973), 497-503
DOI: https://doi.org/10.1090/S0002-9947-1973-0318438-8

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.
References
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 180 (1973), 497-503
  • MSC: Primary 28A40; Secondary 46A05
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0318438-8
  • MathSciNet review: 0318438