Dorroh, J. R.Neuberger, John W.2018-08-162018-08-161993-08-27Dorroh, J. R. & Neuberger, J. W. (1993). Lie generators for semigroups of transformations on a polish space. <i>Electronic Journal of Differential Equations, 1993</i>(01), pp. 1-7.1072-6691https://hdl.handle.net/10877/7536An addendum was attached on November 17, 1994. See last page of this article.Let X be a separable complete metric space. We characterize completely the infinitesimal generators of semigroups of linear transformations in Cb(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, Cb(X) is equipped with a locally convex topology known as the strict topology.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalSemigroups of operatorsInfinitesimal generatorArticle