Abstract
We present several results concerning the asymptotic behavior of (random) infinite products of generic sequences of positive linear operators on an ordered Banach space. In addition to a weak ergodic theorem we also obtain convergence to an operator of the formf(·)η wheref is a continuous linear functional and η is a common fixed point.
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Reich, S., Zaslavski, A.J. Generic convergence of infinite products of positive linear operators. Integr equ oper theory 35, 232–252 (1999). https://doi.org/10.1007/BF01196385
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DOI: https://doi.org/10.1007/BF01196385