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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 4, Pages 808–813 (Mi tvp2899)  
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

On the convergence of infinite products of independent random linear operators in a Hilbert space

T. А. Skorohod

Kiev
Full-text PDF (306 kB) Citations (1)
Abstract: The first two theorems of the paper give simple sufficient conditions for the convergence with probability 1 of the products named in the title. The third theorem presents necessary and sufficient conditions for convergence and resembles the well-known Kolmogorov's theorem on three series.
Received: 14.11.1977
English version:
Theory of Probability and its Applications, 1980, Volume 24, Issue 4, Pages 809–813
DOI: https://doi.org/10.1137/1124092
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. А. Skorohod, “On the convergence of infinite products of independent random linear operators in a Hilbert space”, Teor. Veroyatnost. i Primenen., 24:4 (1979), 808–813; Theory Probab. Appl., 24:4 (1980), 809–813
Citation in format AMSBIB
\Bibitem{Sko79}
\by T.~А.~Skorohod
\paper On the convergence of infinite products of independent random linear operators in a~Hilbert space
\jour Teor. Veroyatnost. i Primenen.
\yr 1979
\vol 24
\issue 4
\pages 808--813
\mathnet{http://mi.mathnet.ru/tvp2899}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=550535}
\zmath{https://zbmath.org/?q=an:0441.60068|0416.60076}
\transl
\jour Theory Probab. Appl.
\yr 1980
\vol 24
\issue 4
\pages 809--813
\crossref{https://doi.org/10.1137/1124092}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979KW11900010}
Linking options:
  • https://www.mathnet.ru/eng/tvp2899
  • https://www.mathnet.ru/eng/tvp/v24/i4/p808
    • This publication is cited in the following 1 articles:
    1. A. V. Skorokhod, “Products of independent random operators”, Russian Math. Surveys, 38:4 (1983), 291–318  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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