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Khani Robati, Bahram, Ansari, Mohammad, Hedayatian, Karim, Moradi, Abbas. (1395). A note on topological and strict transitivity. , (), -. doi: 10.22099/ijsts.2016.3724
Bahram Khani Robati; Mohammad Ansari; Karim Hedayatian; Abbas Moradi. "A note on topological and strict transitivity". , , , 1395, -. doi: 10.22099/ijsts.2016.3724
Khani Robati, Bahram, Ansari, Mohammad, Hedayatian, Karim, Moradi, Abbas. (1395). 'A note on topological and strict transitivity', , (), pp. -. doi: 10.22099/ijsts.2016.3724
Khani Robati, Bahram, Ansari, Mohammad, Hedayatian, Karim, Moradi, Abbas. A note on topological and strict transitivity. , 1395; (): -. doi: 10.22099/ijsts.2016.3724

A note on topological and strict transitivity

Iranian Journal of Science
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 خرداد 1395
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3724
نویسندگان
Bahram Khani Robati* 1؛ Mohammad Ansari2؛ Karim Hedayatian2؛ Abbas Moradi2
1Shiraz university
2Shiraz University
چکیده
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
کلیدواژه‌ها
Key words and phrases: hypercyclic؛ supercyclic؛ topologically transitive؛ strictly transitive
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