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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 $(F,F_1 )$

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 $(F,F_1)$. 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 $(F,F_1)$ are given in terms of these laws.
Keywords: space of type $(F,F_1 )$, 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 $(F,F_1 )$”, 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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