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Periodic Mild Solutions and the Spectrum of Operator Semigroups

SONG Guo-zhu Department of Mathematics, Nanjing University, Nanjing 210093, China  
Let X be a Hilbert space, e~At be a (1,A)-semigroup on X. In this paper we give characterizations of the spectrum of e~At in terms of properties of (λ-A) ~-1. On Banach space X, we establish some sufficient conditions on which the spectrum mapping theorem of (1,A)-semigroups holds.
【Fund】: the National Natural Science Foundation of China
【CateGory Index】: O152
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