Integrated semigroups of unbounded linear operators -- Cauchy problem. II.
Kravarušić, Ratko, Mijatović, Milorad, Pilipović, Stevan (1998)
Novi Sad Journal of Mathematics
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Kravarušić, Ratko, Mijatović, Milorad, Pilipović, Stevan (1998)
Novi Sad Journal of Mathematics
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Gogodze, Ioseb K., Gelashvili, Koba N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Jürgen Voigt (1989)
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S. Bjon (1994)
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Piotr Budzyński, Jan Stochel (2009)
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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...
R. Nagel (1986)
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Wolfgang Arendt, Alessandro Zamboni (2010)
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Bisectorial operators play an important role since exactly these operators lead to a well-posed equation u'(t) = Au(t) on the entire line. The simplest example of a bisectorial operator A is obtained by taking the direct sum of an invertible generator of a bounded holomorphic semigroup and the negative of such an operator. Our main result shows that each bisectorial operator A is of this form, if we allow a more general notion of direct sum defined by an unbounded closed projection....
M. Munteanu, M. Schwarz (1989)
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V. A. Babalola, A. Olubummo (1974)
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Markin, Marat V. (2002)
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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