alpha-times Integrated Semigroups (alpha in R-)
Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
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Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
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Parker, G.Edgar (1982)
International Journal of Mathematics and Mathematical Sciences
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Enrico Priola (1999)
Studia Mathematica
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We study a new class of Markov type semigroups (not strongly continuous in general) in the space of all real, uniformly continuous and bounded functions on a separable metric space E. Our results allow us to characterize the generators of Markov transition semigroups in infinite dimensions such as the heat and the Ornstein-Uhlenbeck semigroups.
Janfada, Mohammad (2009)
Abstract and Applied Analysis
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D. Monk, F. Sioson (1966)
Fundamenta Mathematicae
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Nenthein, S., Kemprasit, Y. (2006)
International Journal of Mathematics and Mathematical Sciences
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Henney, Dagmar R. (1965)
Portugaliae mathematica
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Chivukula, R. Rao (1981)
Portugaliae mathematica
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R.P. Sullivan (1985)
Semigroup forum
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Marek Ptak (1991)
Annales Polonici Mathematici
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Abstract. We consider the reflexivity of a WOT-closed algebra generated by continuous isometric semigroups parametrized by the semigroup of non-negative reals or the semigroup of finite sequences of non-negative reals. It is also proved that semigroups of continuous unilateral multi-parameter shifts are reflexive.