%0 Journal Article
%T On $J$-class $C_0$-semigroups of operators
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Janfada, Mohammad
%A Nezhadali Baghan, Abolfazl
%D 2021
%\ 02/01/2021
%V 12
%N 1
%P 397-403
%! On $J$-class $C_0$-semigroups of operators
%K Hypercyclic $C_0$-semigroup
%K J-class $C_0$-semigroup
%K approximation in the sense of Kato
%R 10.22075/ijnaa.2021.4812
%X In this paper, locally topologically transitive (or J-class) $C_0$-semigroups of operators on Banach spaces are studied. Some similarity and differences of locally transitivity and hypercyclicity of $C_0$-semigroups are investigated. Next the Kato's limit of a sequence of $C_0$-semigroups are considered and their locally transitivity relations are studied.
%U https://ijnaa.semnan.ac.ir/article_4812_47a04f86d42c188bb9fe67c0af8f9756.pdf