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ArticleOriginal scientific text

Title

On unrestricted products of (W) contractions

Authors 1

Affiliations

  1. Department of Mathematics, University of South Africa, P.O. Box 392, 0003 Pretoria, South Africa

Abstract

Given a family of (W) contractions T1,...,TN on a reflexive Banach space X we discuss unrestricted sequences Trn∘...∘Tr1(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 Trn if and only if the weak operator closed semigroups generated by T1,...,TN are right amenable.

Keywords

ENG
weak convergence, unrestricted products, linear contraction

Bibliography

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Colloquium Mathematicum
2000/86/2
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Pages:
163-170
Main language of publication
English
Received
1998-11-24
Accepted
1999-11-16
Published
2000
Exact and natural sciences