Mushtari, D. Kh. On the spaces in which criteria of Bochner and Levy type are fulfilled. (Russian) Zbl 0464.28010 Konstr. Teor. Funkts. Funkts. Anal. 2, 69-82 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) 46G12 Measures and integration on abstract linear spaces 60B11 Probability theory on linear topological spaces 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) Keywords:criteria of Bochner and Levy type; cylinder measure; Sazanov theorem; countable additivity; characteristic functional; Radon probability measure; Hilbert-Schmidt operators; S-space; bounded approximation property; equicontinuity; conditional compactness PDFBibTeX XMLCite \textit{D. Kh. Mushtari}, Konstr. Teor. Funkts. Funkts. Anal. 2, 69--82 (1979; Zbl 0464.28010)