Geodesic
On unrestricted products of (W) contractions
Colloquium Mathematicum, Tome 86 (2000) no. 2, pp. 163-170.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Given a family of (W) contractions $T_1, ..., T_N$ on a reflexive Banach space X we discuss unrestricted sequences $T_{r_n}∘...∘T_{r_1}(x)$. We show that they converge weakly to a common fixed point, which depends only on x and not on the order of the operators $T_{r_n}$ if and only if the weak operator closed semigroups generated by $T_1, ..., T_N$ are right amenable.
DOI : 10.4064/cm-86-2-163-170
Keywords: weak convergence, unrestricted products, linear contraction

W. Bartoszek 1

1 
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W. Bartoszek. On unrestricted products of (W) contractions. Colloquium Mathematicum, Tome 86 (2000) no. 2, pp. 163-170. doi : 10.4064/cm-86-2-163-170. http://geodesic.mathdoc.fr/articles/10.4064/cm-86-2-163-170/

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