International Journal of Nonlinear Analysis and Applications

Properties of multi subspace-supercyclic operators and $C_0$-semigroups

Articles in Press

Document Type : Research Paper

Author

Department of Mathematics Education, Farhangian University, Tehran, Iran

Abstract

In this paper, we describe multi-subspace-supercyclic operators and investigate them. We prove that any subspace-supercyclic operator and multi-supercyclic operator are multi-subspace-supercyclic. Also,  we prove that an operator is multi-subspace-supercyclic if and only if any powers of it are multi-subspace-supercyclic. Furthermore, we define a subspace-supercyclic $C_{0}$-semigroup. We state that as a $C_{0}$-semigroup that contains a multi-subspace-supercyclic operator, it is multi-subspace-supercyclic.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 23 September 2025
  • Receive Date: 20 June 2024
  • Accept Date: 14 February 2025