数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (3): 251-260.
郑权1, 雷岩松2
Zheng Quan1, Lei Yansong2
摘要: In this paper, by Laplace transform version of the Trotter-Kato approximation theorem and the integrated C-semigroup introduced by Myadera, the authors obtained some Trotter-Kato approximation theorems on exponentially bounded C-semigroups, where the range of C (and so the domain of the generator) may not be dense. The authors deduced the corresponding results on exponentially bounded integrated semigroups with nondensely generators. The results of this paper extended and perfected the results given by Lizama, Park and Zheng.