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
Ergodentheorie [GND]Tauber-Sätze [GND]
Ergodic theory [LCSH]
Semigroups [LCSH]
Stability [LCSH]
Keywords
Doob's theorem; Kernel operator; Tauberian theorem; Transition kernelDewey Decimal Group
DDC 510 / MathematicsMetadata
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Gerlach, Moritz (2014): Semigroups of kernel operators. Open Access Repositorium der Universität Ulm. Dissertation. http://dx.doi.org/10.18725/OPARU-3263
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