Separating kernel of cylindrical measure

Y. Okazaki and Y. Takahashi

Statistics & Probability Letters, 1987, vol. 5, issue 6, 397-399

Abstract: Let [mu] be a cylindrical measure on a locally convex Hausdorff space E, [mu] be the topology of convergence in probability on the null space of and . is called the kernel of [mu]. We prove that if and only if has the separating dual, where is the polar of in E'. This is an answer to a problem of Chevet (1981).

Keywords: cylindrical; measure; random; linear; functional; convergence; in; probability; Kernel; linear; support (search for similar items in EconPapers)
Date: 1987
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