This article is cited in 1 paper

Random maps and Kolmogorov widths

I. A. Korenovska

Institute of Mathematics, National Academy of Sciences of Ukraine Tereshchenkivska Str. 3, Kiev 01601, Ukraine

Abstract: 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.

MSC: 60B11, 60G17, 60H25

Language: English

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