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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A random Banach-Steinhaus theorem
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by M. V. Velasco and A. R. Villena
Proc. Amer. Math. Soc. 123 (1995), 2489-2497
DOI: https://doi.org/10.1090/S0002-9939-1995-1254856-1

Abstract:

In an earlier paper, we began a study of linear random operators which have a certain probability of behaving as continuous operators. In this paper we study the pointwise limit in probability of a sequence of such operators, extending the Banach-Steinhaus theorem in a stochastical sense.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2489-2497
  • MSC: Primary 60H25; Secondary 47B80, 60B11
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1254856-1
  • MathSciNet review: 1254856