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Teoriya Veroyatnostei i ee Primeneniya, 2000, Volume 45, Issue 1, Pages 178–182
DOI: https://doi.org/10.4213/tvp333 (Mi tvp333) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

Unconditional convergence of Gaussian random series in Banach spaces

V. V. Kvaratskheliya

Muskhelishvili Institute of Computational Mathematics
Full-text PDF (352 kB) Citations (2)
DOI: https://doi.org/10.4213/tvp333
Abstract: A sufficient condition is given for the a.s. unconditional convergence of Gaussian series in Banach spaces with unconditional bases not containing $l^n_\infty$'s uniformly. By the a.s. unconditional convergence of random series we understand the convergence of all rearrangements of the series on the same set of total probability.
Keywords: a.s. unconditional convergence, Gaussian series, Banach spaces, not containing $l^n_\infty$'s uniformly.
Received: 16.11.1998
Revised: 19.08.1999
English version:
Theory of Probability and its Applications, 2001, Volume 45, Issue 1, Pages 147–152
DOI: https://doi.org/10.1137/S0040585X97978129
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Kvaratskheliya, “Unconditional convergence of Gaussian random series in Banach spaces”, Teor. Veroyatnost. i Primenen., 45:1 (2000), 178–182; Theory Probab. Appl., 45:1 (2001), 147–152
Citation in format AMSBIB
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\paper Unconditional convergence of Gaussian random series in Banach spaces
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\pages 178--182
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\transl
\jour Theory Probab. Appl.
\yr 2001
\vol 45
\issue 1
\pages 147--152
\crossref{https://doi.org/10.1137/S0040585X97978129}
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  • https://www.mathnet.ru/eng/tvp333
  • https://doi.org/10.4213/tvp333
  • https://www.mathnet.ru/eng/tvp/v45/i1/p178
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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