Semigroups of kernel operators
Dissertation
Faculties
Fakultät für Mathematik und WirtschaftswissenschaftenAbstract
We study several aspects of the asymptotic behavior of semigroups of kernel operators. On the one hand, we prove a mean ergodic theorem for Markovian transition semigroups on the space of measures. On the other hand, we deduce Doob"s stability theorem from the lattice structure of transition kernels and prove a Tauberian theorem for strong Feller semigroups.
Date created
2014
Subject headings
[GND]: Ergodentheorie | Tauber-Sätze[LCSH]: Ergodic theory | Semigroups | Stability
[Free subject headings]: Doob's theorem | Kernel operator | Tauberian theorem | Transition kernel
[DDC subject group]: DDC 510 / Mathematics
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Please use this identifier to cite or link to this item: http://dx.doi.org/10.18725/OPARU-3263
Gerlach, Moritz (2014): Semigroups of kernel operators. Open Access Repositorium der Universität Ulm und Technischen Hochschule Ulm. Dissertation. http://dx.doi.org/10.18725/OPARU-3263
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