Document Type : Research Paper

Authors

• Mohammad Janfada ¹
• Abolfazl Nezhadali Baghan ²

¹ Department of Pure Mathematics‎, ‎Ferdowsi University‎ of Mashhad‎, ‎International Campus‎, ‎Mashhad‎, ‎Iran

² Department of Pure Mathematics‎, ‎Ferdowsi University‎ ‎of Mashhad‎, ‎P‎. ‎O‎. ‎Box 1159‎, ‎Mashhad 91775‎, ‎Iran‎

Abstract

‎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.

Keywords

• ‎Hypercyclic $C_0$-semigroup
• J-class $C_0$-semigroup
• approximation in the sense of Kato‎