A generalized converse measurability theorem

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.