Random maps and Kolmogorov widths
Teoriâ slučajnyh processov, Tome 20 (2015) no. 1, pp. 78-83

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In this paper we consider strong random operators. We present the sufficient conditions on a compact set in a Hilbert space under which its image under a Gaussian strong random operator is well-defined and compact. In addition, we investigate the behavior of Kolmogorov widths of some compacts under a Gaussian strong random operator.
Keywords: Gaussian strong random operator, Kolmogorov width, continuity of Gaussian processes.
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     author = {I. A. Korenovska},
     title = {Random maps and {Kolmogorov} widths},
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I. A. Korenovska. Random maps and Kolmogorov widths. Teoriâ slučajnyh processov, Tome 20 (2015) no. 1, pp. 78-83. http://geodesic.mathdoc.fr/item/THSP_2015_20_1_a4/