Unconditional Convergence of Weakly Sub-Gaussian Series in Banach Spaces

DOI10.1137/S0040585X97982311zbMATH Open1132.60005OpenAlexW2067187543MaRDI QIDQ5307622

Vakhtang V. Kvaratskhelia, Nicholas Vakhania

Publication date: 17 September 2007

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97982311

zbMATH Keywords

sub-Gaussian random variableGaussian random elementalmost surely unconditional convergenceBanach space not containing \(l^n_{\infty}\) uniformlyBanach space with unconditional basisstrongly sub-Gaussian random elementweakly sub-Gaussian random element

Mathematics Subject Classification ID

Convergence of probability measures (60B10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)

Related Items (1)

Unconditional convergence of Gaussian random series in Banach spaces

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