Evolution operators related to semi-groups of class (A).
N. Sauer, J.E. Singleton (1986-1987)
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N. Sauer, J.E. Singleton (1986-1987)
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S. Bjon (1994)
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S.V. Tolstosheina (1990)
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R. Nagel (1986)
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J. Almeida (1986)
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J.R. Dorroh (1985)
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Piotr Budzyński, Jan Stochel (2007)
Studia Mathematica
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Joint subnormality of a family of composition operators on L²-space is characterized by means of positive definiteness of appropriate Radon-Nikodym derivatives. Next, simplified positive definiteness conditions guaranteeing joint subnormality of a C₀-semigroup of composition operators are supplied. Finally, the Radon-Nikodym derivatives associated to a jointly subnormal C₀-semigroup of composition operators are shown to be the Laplace transforms of probability measures (modulo a C₀-group...
J.M.A.M. van Neerven (1991)
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Gogodze, Ioseb K., Gelashvili, Koba N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Piotr Budzyński, Jan Stochel (2009)
Studia Mathematica
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In the previous paper, we have characterized (joint) subnormality of a C₀-semigroup of composition operators on L²-space by positive definiteness of the Radon-Nikodym derivatives attached to it at each rational point. In the present paper, we show that in the case of C₀-groups of composition operators on L²-space the positive definiteness requirement can be replaced by a kind of consistency condition which seems to be simpler to work with. It turns out that the consistency condition...
M. Gutan (1996)
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A. Holderrieth (1991)
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Jürgen Voigt (1989)
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