Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 1 2021 05 01 On ‎$‎J‎$‎-class $C_0$-semigroups of operators 397 403 4812 10.22075/ijnaa.2021.4812 EN Mohammad Janfada Department of Pure Mathematics‎, ‎Ferdowsi University‎ of Mashhad‎, ‎International Campus‎, ‎Mashhad‎, ‎Iran Abolfazl Nezhadali Baghan Department of Pure Mathematics‎, ‎Ferdowsi University‎ ‎of Mashhad‎, ‎P‎. ‎O‎. ‎Box 1159‎, ‎Mashhad 91775‎, ‎Iran‎ Journal Article 2017 08 27 ‎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. ‎Hypercyclic $C_0$-semigroup J-class $C_0$-semigroup approximation in the sense of Kato‎ https://ijnaa.semnan.ac.ir/article_4812_99d16ebb7ece04b1b39d62dedc016be4.pdf