Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 1999; 14(2): 425-428

Printed June 1, 1999

Copyright © The Korean Mathematical Society.

A Note on Feller's Theorem

Dug Hun Hong

Catholic University of Taegu-Hyosung

Abstract

In this note we have generalization of Feller's theorem to real separable Banach spaces, from which we obtain easily Chow-Robbins "fair" games problem in the Banach spaces.

Keywords: random vectors, strong law of large numbers, fair games

MSC numbers: 60F15