Trotter--Kato theorems for bi-continuous semigroups and applications to Feller semigroups.

DOI10.1016/j.jmaa.2003.08.032zbMath1071.47043OpenAlexW2056580193MaRDI QIDQ1425128

Angela A. Albanese, Elisabetta M. Mangino

Publication date: 15 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.032

zbMATH Keywords

bi-continuous semigroupsLie--Trotter product formulasecond order differential operators with unbounded coefficients

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03)

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Strongly continuous and locally equi-continuous semigroups on locally convex spaces ⋮ On the Lie-Trotter approximation formula ⋮ Abstract Volterra equations in locally convex spaces ⋮ Mean ergodic theorems for bi-continuous semigroups ⋮ The Method of Chernoff Approximation ⋮ \(C_0\)-sequentially equicontinuous semigroups ⋮ Rational approximation schemes for bi-continuous semigroups ⋮ Uniform convergence of operator semigroups without time regularity ⋮ Bi-continuous semigroups for flows on infinite networks ⋮ Adjoint bi-continuous semigroups and semigroups on the space of measures ⋮ A Lumer-Phillips type generation theorem for bi-continuous semigroups

Cites Work

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