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 Teor. Veroyatnost. i Primenen., 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.

Full text: PDF file (269 kB)

English version:
Theory of Probability and its Applications, 1993, 38:4, 733–737

Bibliographic databases:

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://www.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}