Publikation: On the lattice structure of kernel operators
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2015
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Gerlach, Moritz
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Mathematische Nachrichten. 2015, 288(5-6), pp. 584-592. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.201300218
Zusammenfassung
Consider the lattice of bounded linear operators on the space of Borel measures on a Polish space. We prove that the operators which are continuous with respect to the weak topology induced by the bounded measurable functions form a sublattice that is lattice isomorphic to the space of transition kernels. As an application we present a purely analytic proof of Doob's theorem concerning stability of transition semigroups.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Lattice structure, transition kernel, weak topology, Doob’s theorem
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GERLACH, Moritz, Markus KUNZE, 2015. On the lattice structure of kernel operators. In: Mathematische Nachrichten. 2015, 288(5-6), pp. 584-592. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.201300218BibTex
@article{Gerlach2015latti-41248,
year={2015},
doi={10.1002/mana.201300218},
title={On the lattice structure of kernel operators},
number={5-6},
volume={288},
issn={0025-584X},
journal={Mathematische Nachrichten},
pages={584--592},
author={Gerlach, Moritz and Kunze, Markus}
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