Lie generators for semigroups of transformations in a Polish space
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
1993-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1993/01/abstr.html |
| Summary: | 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. } |
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| ISSN: | 1072-6691 |