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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 4, Pages 811–814
DOI: https://doi.org/10.4213/tvp3829 (Mi tvp3829) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

Strong Laws of Large Numbers for $B$-Valued $L_q$-Mixingale Sequences and the $q$-Smoothness of Banach Space

Gan Shixin

Department of Mathematics, Wuhan University
Full-text PDF (453 kB) Citations (2)
DOI: https://doi.org/10.4213/tvp3829
Abstract: In this paper a.s. convergence of Banach space valued $L_q$-mixingale sequences is proved. The result is used to establish a strong law of large numbers for Banach space valued $L_q$-mixingale sequences which has not been established previously. Conversely, $q$-smoothable Banach spaces are characterized in terms of strong laws of large numbers for these sequences.
Keywords: a.s. convergence, strong law of large numbers, Banach space valued $L_q$-mixingale sequences, smoothness of Banach space.
Received: 29.09.1998
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 4, Pages 717–721
DOI: https://doi.org/10.1137/S0040585X97979378
Bibliographic databases:
Document Type: Article
Language: English
Citation: Gan Shixin, “Strong Laws of Large Numbers for $B$-Valued $L_q$-Mixingale Sequences and the $q$-Smoothness of Banach Space”, Teor. Veroyatnost. i Primenen., 46:4 (2001), 811–814; Theory Probab. Appl., 46:4 (2002), 717–721
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2002
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\issue 4
\pages 717--721
\crossref{https://doi.org/10.1137/S0040585X97979378}
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  • https://doi.org/10.4213/tvp3829
  • https://www.mathnet.ru/eng/tvp/v46/i4/p811
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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