Eventually norm continuous semigroups on Hilbert space and perturbations |
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Authors: | Gen-Qi Xu |
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Affiliation: | Mathematics Department of Tianjin University, Tianjin 300072, PR China |
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Abstract: | The eventually norm continuous semigroups on Hilbert space and perturbation are studied in this paper. By resolvent of infinitesimal generator, the sufficient and necessary conditions for eventually norm continuous semigroups are given. Using the result obtained, it is proved that if is infinitesimal generator of an eventually norm continuous semigroup T(t), then there is a subspace ΞA of such that, for any , the semigroup S(t) generated by preserves the property of T(t). |
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Keywords: | Eventually norm continuous semigroup Characterization Bounded perturbation |
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