Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A generalized converse measurability theorem

Authors: K. S. Chang and K. S. Ryu
Journal: Proc. Amer. Math. Soc. 104 (1988), 835-839
MSC: Primary 28C20
MathSciNet review: 935104
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: It has long been known that measurability questions in Wiener space and Yeh-Wiener space are often rather delicate. Some converse measurability theorems in Wiener and Yeh-Wiener spaces were proved by Köehler, Skoug, and the first author.

In this paper, we establish a generalized converse measurability theorem by which the above measurability theorems are proved as corollaries.

References [Enhancements On Off] (What's this?)

  • [1] R. H. Cameron and D. A. Storvick, Two related integrals over spaces of continuous functions, Pacific J. Math. 55 (1974), 19-37. MR 0369649 (51:5881)
  • [2] K. S. Chang, Converse measurability theorems for Yeh-Wiener space, Pacific J. Math. 97 (1981), 59-63. MR 638171 (83g:60067)
  • [3] K. S. Chang and I. Yoo, A simple proof of converse measurability theorem for Yeh-Wiener spaces, Bull. Korean Math. Soc. 23 (1986), 35-37. MR 843206 (87m:60178)
  • [4] K. R. Parthasarathy, Probability measures on metric space, Academic Press, New York, 1967. MR 0226684 (37:2271)
  • [5] D. L. Skoug, Converses to measurability theorems for Yeh-Wiener space, Proc. Amer. Math. Soc. 57 (1976), 304-310. MR 0422563 (54:10549)
  • [6] J. Yeh, Wiener measure in a space of functions of two variables, Trans. Amer. Math. Soc. 95 (1960), 433-450. MR 0125433 (23:A2735)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28C20

Retrieve articles in all journals with MSC: 28C20

Additional Information

Keywords: Wiener measure, Yeh-Wiener measure, tight measure, $ n$-parallel lines theorem, converse measurability
Article copyright: © Copyright 1988 American Mathematical Society

American Mathematical Society