Domination of uniformly continuous semigroups |
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| Authors: | W Arendt J Voigt |
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| Institution: | (1) Equipe de Mathématiques, Université de Franche-Comté, 25030 Besançon Cedex, France;(2) Fachbereich Mathematik der Universität, 2900 Oldenburg, Germany |
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| Abstract: | We prove that a bounded operator on a Banach lattice, satisfying a growth condition, is regular. Also, we prove that the generator of a C
0-semigroup on such a lattice for which such an operator exists is bounded. |
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| Keywords: | 47D03 46A40 |
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