On invariant functions and ergodic measures of Markov operators on C(X)
Ryszard Rębowski (1987)
Colloquium Mathematicae
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Ryszard Rębowski (1987)
Colloquium Mathematicae
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J.P. Troallic, E. Ménard (1993)
Semigroup forum
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Ryszard Rudnicki (2000)
Applicationes Mathematicae
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This note contains a survey of recent results concerning asymptotic properties of Markov operators and semigroups. Some biological and physical applications are given.
Ryszard Rudnicki (1988)
Annales Polonici Mathematici
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R. M. Phatarfod (1983)
Applicationes Mathematicae
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Heinrich P. Lotz (1981)
Mathematische Zeitschrift
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Delio Mugnolo (2004)
Studia Mathematica
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In analogy to a recent result by V. Fonf, M. Lin, and P. Wojtaszczyk, we prove the following characterizations of a Banach space X with a basis. (i) X is finite-dimensional if and only if every bounded, uniformly continuous, mean ergodic semigroup on X is uniformly mean ergodic. (ii) X is reflexive if and only if every bounded strongly continuous semigroup is mean ergodic if and only if every bounded uniformly continuous semigroup on X is mean ergodic. ...
J. Goldstein, c. Radin, R. Showalter (1978)
Semigroup forum
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T.F. Lin (1989)
Semigroup forum
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Marta Tyran-Kamińska (2009)
Studia Mathematica
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We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.
Jacek Banasiak (2003)
Banach Center Publications
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We shall present necessary and sufficient conditions for both conservativity and uniqueness of solutions to birth-and-death system of equations using methods of semigroup theory. The derived conditions correspond to the uniqueness criteria for forward and backward birth-and-death systems due to Reuter, [10,11,1], that were derived in a different context by Markov processes' techniques.
Wojciech Bartoszek (1987)
Colloquium Mathematicae
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Roberts, Gareth O., Rosenthal, Jeffrey S. (1997)
Electronic Communications in Probability [electronic only]
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Keilson, Julian (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Kôsaku Yosida (1968)
Studia Mathematica
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S. McGrath (1977)
Studia Mathematica
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