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Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices

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Abstract

For a sequence of independent random elements belonging to an ideal of order-bounded elements of a Banach lattice, we investigate the asymptotic relative stability of extremal values, the law of large numbers for the pth powers, and the central limit theorem.

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Authors and Affiliations

  1. State University of Technology and Design, Kiev

    I. K. Matsak

  2. Pedagogic University, Kirovograd

    A. M. Plichko

Authors
  1. I. K. Matsak
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  2. A. M. Plichko
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Matsak, I.K., Plichko, A.M. Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices. Ukrainian Mathematical Journal 53, 48–58 (2001). https://doi.org/10.1023/A:1010484700083

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