On a theorem of Rolewicz for semigroups of operators in locally convex spaces
Mihail Megan, Alin Pogan (2000)
Annales mathématiques Blaise Pascal
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Displaying similar documents to “Hille-Yosida theory in convenient analysis.”
On a theorem of Rolewicz for semigroups of operators in locally convex spaces
On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions
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.
A new characterization of generators of differentiable semigroups.
Ioan I. Vrabie (2001)
RACSAM
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Mild integrated C-existence families
Shen Wang (1995)
Studia Mathematica
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We study mild n times integrated C-existence families without the assumption of exponential boundedness. We present several equivalent conditions for these families. Hille-Yosida type necessary and sufficient conditions are given for the exponentially bounded case.
Regularized semigroups and systems of linear partial differential equations
M. Hieber, A. Holderrieth, F. Neubrander (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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An approximation theorem for semigroups of operators
Olubummo, A. (1981)
Portugaliae mathematica
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A new characterization of -bounded semigroups with application to implicit evolution equations.
Arlotti, Luisa (2001)
Abstract and Applied Analysis
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Analyticity of transition semigroups and closability of bilinear forms in Hilbert spaces
Marco Fuhrman (1995)
Studia Mathematica
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We consider a semigroup acting on real-valued functions defined in a Hilbert space H, arising as a transition semigroup of a given stochastic process in H. We find sufficient conditions for analyticity of the semigroup in the space, where μ is a gaussian measure in H, intrinsically related to the process. We show that the infinitesimal generator of the semigroup is associated with a bilinear closed coercive form in . A closability criterion for such forms is presented. Examples are...
On α-times integrated C-semigroups and the abstract Cauchy problem
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...