On semigroups having a kernel
Štefan Schwarz (1951)
Czechoslovak Mathematical Journal
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Štefan Schwarz (1951)
Czechoslovak Mathematical Journal
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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.
M. Hieber, A. Holderrieth, F. Neubrander (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...
Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
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Mihail Megan, Alin Pogan (2000)
Annales mathématiques Blaise Pascal
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