Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators

被引：0

作者：

Ma, Yingbin ^{[1
]}

Wang, Cui ^{[1
,2
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin 300350, Peoples R China

来源：

OPEN MATHEMATICS | 2018年 / 16卷

基金：

中国国家自然科学基金;

关键词：

Disjoint supercyclic; Class; Compact set; Taylor-type; Operator;

D O I：

10.1515/math-2018-0054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators. Moreover, we give a sufficient condition to yield the disjoint supercyclicity for families of Taylor-type operators.

引用

页码：597 / 606

页数：10

共 15 条

[1] COMPOSITIONAL DISJOINT HYPERCYCLICITY EQUALS DISJOINT SUPERCYCLICITY
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