Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 2025 09 23 Properties of multi subspace-supercyclic operators and $C_0$-semigroups 10075 10.22075/ijnaa.2025.34509.5153 EN Mansooreh Moosapoor Department of Mathematics Education, Farhangian University, Tehran, Iran 0000-0003-4194-6495 Journal Article 2024 06 20 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. https://ijnaa.semnan.ac.ir/article_10075_2e5050938e0df629a2f2c5ff24fe66c6.pdf