Complex Powers of Nondensely Defined Operators
Marko Kostić (2011)
Publications de l'Institut Mathématique
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Marko Kostić (2011)
Publications de l'Institut Mathématique
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M. Hieber, A. Holderrieth, F. Neubrander (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Abstract and Applied Analysis
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Miroslav Sova (1979)
Časopis pro pěstování matematiky
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M. Kostić (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Ioan I. Vrabie (2001)
RACSAM
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Banasiak, J. (2000)
Abstract and Applied Analysis
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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.
Jacek Banasiak, Mirosław Lachowicz (2007)
Studia Mathematica
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We show that the result of Kato on the existence of a semigroup solving the Kolmogorov system of equations in l₁ can be generalized to a larger class of the so-called Kantorovich-Banach spaces. We also present a number of related generation results that can be proved using positivity methods, as well as some examples.
Chung-Cheng Kuo, Sen-Yen Shaw (2000)
Studia Mathematica
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This paper is concerned with α-times integrated C-semigroups for α > 0 and the associated abstract Cauchy problem: , t >0; u(0) = 0. We first investigate basic properties of an α-times integrated C-semigroup which may not be exponentially bounded. We then characterize the generator A of an exponentially bounded α-times integrated C-semigroup, either in terms of its Laplace transforms or in terms of existence of a unique solution of the above abstract Cauchy problem for every x...
Marko Kostić (2010)
Publications de l'Institut Mathématique
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