Pyt’ev, Yu. P. Methods of reduction of measurements in Hilbert spaces. (English. Russian original) Zbl 0603.94006 Math. USSR, Sb. 54, 525-549 (1986); translation from Mat. Sb., Nov. Ser. 126(168), No. 4, 543-565 (1985). The basic facts are given in the theory of random elements and random operators acting in Hilbert spaces. Reduction methods are developed for several models for a measurement scheme, including methods for a model with a random operator. Cited in 2 Reviews MSC: 94A34 Rate-distortion theory in information and communication theory 47A50 Equations and inequalities involving linear operators, with vector unknowns 60H25 Random operators and equations (aspects of stochastic analysis) 65C20 Probabilistic models, generic numerical methods in probability and statistics 94A15 Information theory (general) Keywords:random elements; random operators PDFBibTeX XMLCite \textit{Yu. P. Pyt'ev}, Math. USSR, Sb. 54, 525--549 (1986; Zbl 0603.94006); translation from Mat. Sb., Nov. Ser. 126(168), No. 4, 543--565 (1985) Full Text: DOI