Eventually norm continuous semigroups on Hilbert space and perturbations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:289

Article

Xu, GQ

关键词: eventually norm continuous semigroup;    characterization;    bounded perturbation;   

DOI  :  10.1016/j.jmaa.2003.08.034

来源: Elsevier

【 摘 要 】

The eventually norm continuous semigroups on Hilbert space H 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 A is infinitesimal generator of an eventually norm continuous semigroup T(t), then there is a subspace Xi(A) of L(H) such that, for any B is an element of Xi(A), the semigroup S(t) generated by A+B preserves the property of T(t). (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

Free