Displaying similar documents to “Injective semigroup-algebras”

A general differentiation theorem for superadditive processes

Ryotaro Sato (2000)

Colloquium Mathematicae

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Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T= T t : t < 0 be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.

Kolmogorov kernel estimates for the Ornstein-Uhlenbeck operator

Robert Haller-Dintelmann, Julian Wiedl (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Replacing the gaussian semigroup in the heat kernel estimates by the Ornstein-Uhlenbeck semigroup on ℝ d , we define the notion of Kolmogorov kernel estimates. This allows us to show that under Dirichlet boundary conditions Ornstein-Uhlenbeck operators are generators of consistent, positive, (quasi-) contractive C 0 -semigroups on L p ( Ω ) for all 1 ≤ p &lt; ∞ and for every domain Ω ⊆ ℝ d . For exterior domains with sufficiently smooth boundary a result on the location of the spectrum of these operators is also given. ...

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 L 2 ( μ ) 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 L 2 ( μ ) . A closability criterion for such forms is presented. Examples are...