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Semigroups of kernel operators

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119 S.
Veröffentlichung
2014-06-05
Authors
Gerlach, Moritz
Dissertation


Faculties
Fakultät für Mathematik und Wirtschaftswissenschaften
Abstract
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
License
CC BY-NC-ND 3.0 Deutschland
http://creativecommons.org/licenses/by-nc-nd/3.0/de/

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DOI & citation

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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