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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 4, Pages 906–909 (Mi tvp4030)  

Short Communications

Laws of large numbers in Banach spaces of type (F,F1)

A. N. Chuprunov

Kazan State University
Abstract: This paper gives strong and weak laws of large numbers for random elements with values in Banach spaces of type (F,F1). The known laws of large numbers in Banach spaces of stable and Rademacher type p are special cases of these results. Characterizations of spaces of type (F,F1) are given in terms of these laws.
Keywords: space of type (F,F1), law of large numbers, random element.
Received: 26.12.1989
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 4, Pages 733–737
DOI: https://doi.org/10.1137/1138074
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Chuprunov, “Laws of large numbers in Banach spaces of type (F,F1)”, Teor. Veroyatnost. i Primenen., 38:4 (1993), 906–909; Theory Probab. Appl., 38:4 (1993), 733–737
Citation in format AMSBIB
\Bibitem{Chu93}
\by A.~N.~Chuprunov
\paper Laws of large numbers in Banach spaces of type $(F,F_1 )$
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 4
\pages 906--909
\mathnet{http://mi.mathnet.ru/tvp4030}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1318008}
\zmath{https://zbmath.org/?q=an:0826.60005}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 4
\pages 733--737
\crossref{https://doi.org/10.1137/1138074}
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