Lie generators for semigroups of transformations on a polish space
Date
1993-08-27
Authors
Dorroh, J. R.
Neuberger, John W.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
An addendum was attached on November 17, 1994. See last page of this article.
Keywords
Semigroups of operators, Infinitesimal generator
Citation
Dorroh, 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.
Rights
Attribution 4.0 International