Iterates of positive linear operators on Bauer simplices

Madalina Dancs, Sever Hodis, Technical University of Cluj-Napoca, Department of Mathematics, 28, Memorandumului Street, 400114 Cluj-Napoca, Romania, e-mail: dancs madalina@yahoo.com", "Technical University of Cluj-Napoca, Department of Mathematics, 28, Memorandumului Street, 400114 Cluj-Napoca, Romania, e-mail: hodissever@gmail.com"
2019 Studia Universitatis Babes-Bolyai Matematica  
We consider positive linear operators acting on C(K), where K is a metrizable Bauer simplex. For such an operator L we investigate the limit of the iterates L m , when m → ∞. Qualitative results and rates of convergence are obtained. The general results are illustrated by examples involving classical operators. Mathematics Subject Classification (2010): 41A36, 46A55.
doi:10.24193/subbmath.2019.3.04 fatcat:53qp4qyyajeifhla727dbz34c4