Semigroups preserving a convex set in a Banach space

DOI10.1215/21562261-1299918zbMath1227.47027OpenAlexW1964121738MaRDI QIDQ640827

Ichiro Shigekawa

Publication date: 21 October 2011

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/21562261-1299918

zbMATH Keywords

Markovian propertypositivity-preserving propertysemigroups preserving a convex set

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Forms (bilinear, sesquilinear, multilinear) (47A07)

Cites Work

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• Invariance of closed convex sets and domination criteria for semigroups
• Markov processes associated with semi-Dirichlet forms
• Semigroups on nonlinear contractions on convex sets
• Feller semigroups, Lp -sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols

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