Random products of contractions in Banach spaces

Dye, J.; Khamsi, M. A.; Reich, S.

doi:10.1090/S0002-9947-1991-0989572-5

Random products of contractions in Banach spaces
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by J. Dye, M. A. Khamsi and S. Reich

Trans. Amer. Math. Soc. 325 (1991), 87-99

DOI: https://doi.org/10.1090/S0002-9947-1991-0989572-5

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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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