On unrestricted products of (W) contractions
Tom 86 / 2000
Colloquium Mathematicum 86 (2000), 163-170
DOI: 10.4064/cm-86-2-163-170
Streszczenie
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.
