Lie Generators for Semigroups of Transformations on a Polish Space
نویسنده
چکیده
Let X be a separable complete metric space. We characterize completely the innnitesimal generators of semigroups of linear transformations in C b (X), the bounded real-valued continuous functions on X, that are induced by strongly continuous semigroups of continuous transformations in X. In order to do this, C b (X) is equipped with a locally convex topology known as the strict topology. Introduction. A strongly continuous semigroup of transformations on a topological space X is a function T from 0; 1) into the collection of continuous transformations from
منابع مشابه
On certain semigroups of transformations that preserve double direction equivalence
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