On local ergodic theorems for positive semigroups
Ryotaro Sato (1978)
Studia Mathematica
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Ryotaro Sato (1978)
Studia Mathematica
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S. McGrath (1977)
Studia Mathematica
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Ryotaro Sato (1974)
Commentationes Mathematicae Universitatis Carolinae
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Ryotaro Sato (1975)
Commentationes Mathematicae Universitatis Carolinae
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Ryotaro Sato (1976)
Studia Mathematica
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S. McGrath (1981)
Studia Mathematica
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Bolis Basit, A. Pryde (1999)
Studia Mathematica
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Let J be an abelian topological semigroup and C a subset of a Banach space X. Let L(X) be the space of bounded linear operators on X and Lip(C) the space of Lipschitz functions ⨍: C → C. We exhibit a large class of semigroups J for which every weakly continuous semigroup homomorphism T: J → L(X) is necessarily strongly continuous. Similar results are obtained for weakly continuous homomorphisms T: J → Lip(C) and for strongly measurable homomorphisms T: J → L(X).