The Critical Spectrum of a Strongly Cont
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Rainer Nagel; Jan Poland
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Article
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2000
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Elsevier Science
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English
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For a strongly continuous semigroup (T(t)) t 0 with generator A we introduce its critical spectrum \_ crit (T(t)). This yields in an optimal way the spectral mapping theorem \_(T(t))=e t\_(A) \_ \_ crit (T(t)) and improves classical stability results. 2000