Lie generators for semigroups of transformations in a Polish space

• Main Authors: J. R. Dorroh, J. W. Neuberger
• Format: Article
• Language: English
• Published: Texas State University 1993-08-01
• Series: Electronic Journal of Differential Equations
• Subjects: Semigroups of operators; infinitesimal generator. ~
• Online Access: http://ejde.math.txstate.edu/Volumes/1993/01/abstr.html

We characterize completely the infinitesimal 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 {it strict topology. }