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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Random products of contractions in Banach spaces


Authors: J. Dye, M. A. Khamsi and S. Reich
Journal: Trans. Amer. Math. Soc. 325 (1991), 87-99
MSC: Primary 47A05; Secondary 65J10
MathSciNet review: 989572
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Abstract: We show that the random product of a finite number of $ (W)$ contractions converges weakly in all smooth reflexive Banach spaces. If one of the contractions is compact, then the convergence is uniform.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1991-0989572-5
PII: S 0002-9947(1991)0989572-5
Keywords: Contraction, random product, weak convergence
Article copyright: © Copyright 1991 American Mathematical Society