Asymptotic behaviour in the set of nonhomogeneous chains of stochastic operators
Małgorzata Pułka (2012)
Discussiones Mathematicae Probability and Statistics
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We study different types of asymptotic behaviour in the set of (infinite dimensional) nonhomogeneous chains of stochastic operators acting on L¹(μ) spaces. In order to examine its structure we consider different norm and strong operator topologies. To describe the nature of the set of nonhomogeneous chains of Markov operators with a particular limit behaviour we use the category theorem of Baire. We show that the geometric structure of the set of those stochastic operators which have...