Abstract Let X be a normed linear space and L(X) be the algebra of continuous linear operators on X. We give a necessary condition for topological transitivity of subsets of L(X) which gives a necessary condition for hypercyclicity and supercyclicity of a single operator on X. Also, We prove the strict transitivity of some particular families of operators on locally convex spaces and Hilbert spaces. Key words and phrases: hypercyclic, supercyclic, topologically transitive, strictly transitive
Khani Robati, B., Ansari, M., Hedayatian, K., & Moradi, A. (2016). A note on topological and strict transitivity. Iranian Journal of Science, (), -. doi: 10.22099/ijsts.2016.3724
MLA
Bahram Khani Robati; Mohammad Ansari; Karim Hedayatian; Abbas Moradi. "A note on topological and strict transitivity". Iranian Journal of Science, , , 2016, -. doi: 10.22099/ijsts.2016.3724
HARVARD
Khani Robati, B., Ansari, M., Hedayatian, K., Moradi, A. (2016). 'A note on topological and strict transitivity', Iranian Journal of Science, (), pp. -. doi: 10.22099/ijsts.2016.3724
VANCOUVER
Khani Robati, B., Ansari, M., Hedayatian, K., Moradi, A. A note on topological and strict transitivity. Iranian Journal of Science, 2016; (): -. doi: 10.22099/ijsts.2016.3724
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