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• W2023643715 abstract "Let $({d_n})_{n = 1}^infty$ be a martingale difference sequence in ${L_0}(X)$, where $X$ is a uniformly convex Banach space. We investigate a necessary condition for convergence of the series $sum {_{n = 1}^infty {a_n}{d_n}}$. We also prove a related subsequence principle for the convergence of a series of square-integrable scalar random variables." @default.
• W2023643715 created "2016-06-24" @default.
• W2023643715 creator A5057904305 @default.
• W2023643715 date "1987-01-01" @default.
• W2023643715 modified "2023-09-25" @default.
• W2023643715 title "Convergence of series of scalar- and vector-valued random variables and a subsequence principle in $Lsb 2$" @default.
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• W2023643715 doi "https://doi.org/10.1090/s0002-9947-1987-0879579-x" @default.
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