On the existence of Analytic Semigroups Bounded on the Half-Disc in some Banach Algebras |
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Authors: | Candeal Juan C; Gale Jose E |
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Institution: | Departamento de Matemáticas, Facultad de Ciencias Universidad de Zaragoza, 50009, Zaragoza, Spain |
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Abstract: | Let G be a locally compact group. We show that L1(G) does notcontain any analytic semigroups which are bounded on the half-disc,by using some facts about the analytic Radon-Nikodm propertyin Banach spaces. This solves a question raised by J. Esterle. |
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