Generic convergence of infinite products of positive linear operators

Authors
Reich, S Zaslavski, AJ
Citation
S. Reich et Aj. Zaslavski, Generic convergence of infinite products of positive linear operators, INTEG EQ OP, 35(2), 1999, pp. 232-252
Citations number
25
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
35
Issue
2
Year of publication
1999
Pages
232 - 252
Database
ISI
SICI code
0378-620X(199910)35:2<232:GCOIPO>2.0.ZU;2-L
Abstract
We present several results concerning the asymptotic behavior of (random) i nfinite products of generic sequences of positive Linear operators on an or dered Banach space. In addition to a weak ergodic theorem we also obtain co nvergence to an operator of the form f(.)eta where f is a continuous linear functional and eta is a common fixed point.