Li, Ya On the left multiplicative perturbations of \(C\)-regularized resolvent families. (Chinese. English summary) Zbl 1174.47345 J. Zhejiang Univ., Sci. Ed. 34, No. 3, 248-251 (2007). Summary: The multiplicative perturbations of \(C\)-regularized resolvent families defined in a Banach space \(X\) are studied. By using the approach of basic operator theory, a left multiplicative perturbation theorem of \(C\)-regularized resolvent families is proved. Cited in 1 Document MSC: 47D60 \(C\)-semigroups, regularized semigroups 47A55 Perturbation theory of linear operators 47D09 Operator sine and cosine functions and higher-order Cauchy problems Keywords:\(C\)-regularized resolvent family; generator; multiplicative perturbation PDF BibTeX XML Cite \textit{Y. Li}, J. Zhejiang Univ., Sci. Ed. 34, No. 3, 248--251 (2007; Zbl 1174.47345)