A Note on Topological and Strict Transitivity

被引：6

作者：

Ansari, Mohammad ^{[1
,2
]}

Hedayatian, Karim ^{[1
]}

Robati, Bahram Khani ^{[1
]}

Moradi, Abbas ^{[1
]}

机构：

[1] Shiraz Univ, Dept Math, Coll Sci, Shiraz 7146713565, Iran

[2] Islamic Azad Univ Gachsaran, Dogonbadan, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2018年 / 42卷 / A1期

关键词：

Hypercyclic; Supercyclic; Topologically transitive; Strictly transitive;

D O I：

10.1007/s40995-017-0325-7

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：59 / 64

页数：6

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