Geodesic
On compactness of families of second order measures in Danach spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 823-828

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Conditions of weak compactness for families of measuies in Banach spaces in terms of their correlation characteristics are considered. For Banach spaces with unconditional basis, not containing $l_{\infty}^n$ uniformly, we give necessary and sufficient conditions for weak compactness and weak convergence of families of Gaussian measures in terms of means and covariance operators. These conditions are necessary and sufficient only for spaces under consideration. 
@article{TVP_1977_22_4_a11,
     author = {Nguyen Zuy Tien and V. I. Tarieladze and S. A. \v{C}obanyan},
     title = {On compactness of families of second order measures in {Danach} spaces},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {823--828},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a11/}
}
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Nguyen Zuy Tien; V. I. Tarieladze; S. A. Čobanyan. On compactness of families of second order measures in Danach spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 823-828. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a11/