A RANDOM BANACH-STEINHAUS THEOREM

Authors
VELASCO MV VILLENA AR
Citation
Mv. Velasco et Ar. Villena, A RANDOM BANACH-STEINHAUS THEOREM, Proceedings of the American Mathematical Society, 123(8), 1995, pp. 2489-2497
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
8
Year of publication
1995
Pages
2489 - 2497
Database
ISI
SICI code
0002-9939(1995)123:8<2489:ARBT>2.0.ZU;2-C
Abstract
In an earlier paper, we began a study of linear random operators which have a certain probability of behaving as continuous operators. In th is paper we study the pointwise limit in probability of a sequence of such operators, extending the Banach-Steinhaus theorem in a stochastic al sense.