Okazaki, Yoshiaki Bochner’s theorem on measurable linear functionals of a Gaussian measure. (English) Zbl 0458.28014 Ann. Probab. 9, 663-664 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) 60B05 Probability measures on topological spaces 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) 46B20 Geometry and structure of normed linear spaces Keywords:Bochner’s theorem; abstract Wiener space; continuous cylinder set measure; Radon measure; measurable linear functional; Gaussian measure; random linear functional; cotype 2; 2-summing operator PDF BibTeX XML Cite \textit{Y. Okazaki}, Ann. Probab. 9, 663--664 (1981; Zbl 0458.28014) Full Text: DOI OpenURL