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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 77–85
(Mi ivm7868)
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This article is cited in 3 scientific papers (total in 3 papers)
The closeness and closability criteria for infinitesimal operators of certain semigroups
A. G. Chshiev Chair of Mathematical Methods of Research of Operations, Voronezh State University, Voronezh, Russia
Abstract:
We consider generators of operator semigroups and study the closedness and closability properties (in a class of operators) of some of them. We obtain necessary conditions and sufficient conditions for generators to be closed operators or closeable in the class of operators.
Keywords:
operator semigroups, linear relation, infinitesimal operator, generator of operator semigroups.
Received: 05.05.2010
Citation:
A. G. Chshiev, “The closeness and closability criteria for infinitesimal operators of certain semigroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 77–85; Russian Math. (Iz. VUZ), 55:8 (2011), 66–74
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https://www.mathnet.ru/eng/ivm7868 https://www.mathnet.ru/eng/ivm/y2011/i8/p77
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Abstract page: | 260 | Full-text PDF : | 52 | References: | 43 | First page: | 4 |
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