Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (S1): 64-69.
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Wang Haiyan1, Yang Mingzhu2
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Abstract: In this paper, we get a sufficient condition to estimate the essential type of a strongly continuous sendgroup in a Banach space, using oh condition we prove that the essential type of the strongly continuous semigroup don't increase under the A-smoothing perturbation and establish the spectral mapping theorem for the asymptotic parts of the spectrum of generator and semgroup.
Key words: Strongly continuous semigroup, Spectral mapping theorem, Essential type
Wang Haiyan, Yang Mingzhu. ON THE SPECTRAL CHARACTERIZATION OF A STRONGLY CONTINUOUS PERTURBED SEMIGROUP[J].Acta mathematica scientia,Series B, 1995, 15(S1): 64-69.
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