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A Note on Dubins' Theorem

Published online by Cambridge University Press:  20 November 2018

Gutti Jogesh Babu
Gutti Jogesh Babu*
Affiliation:
Department of Statistics 219 Pond Laboratory University Park, PA 16802 U.S.A.
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Abstract

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Let p be the space of probability measures on a compact Hausdorff space. Recently Dubins has characterized the continuous funcitons on p using operator theory. We shall prove the same using probabilistic arguments.

Keywords

60B99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 4 , 01 December 1990 , pp. 416 - 418
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Dubins, L. E. Bernstein like polynomial approximation in higher dimensions, Pacific J. Math. 109 ( 1983) 305–311.Google Scholar