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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A random Banach-Steinhaus theorem


Authors: M. V. Velasco and A. R. Villena
Journal: Proc. Amer. Math. Soc. 123 (1995), 2489-2497
MSC: Primary 60H25; Secondary 47B80, 60B11
MathSciNet review: 1254856
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1254856-1
PII: S 0002-9939(1995)1254856-1
Article copyright: © Copyright 1995 American Mathematical Society