About Subspace-Frequently Hypercyclic Operators

被引：1

作者：

Moosapoor, Mansooreh ^{[1
]}

Shahriari, Mohammad ^{[2
]}

机构：

[1] Farhangian Univ, Dept Math, Tehran, Iran

[2] Univ Maragheh, Fac Sci, Dept Math, POB 55136-553, Maragheh, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2020年 / 17卷 / 03期

关键词：

Subspace-frequently hypercyclic operators; Subspace-hypercyclic operators; Frequently hypercyclic operators; Hypercyclic operators;

D O I：

10.22130/scma.2020.117046.707

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-hypercyclicity criterion that implies subspace-frequent hypercyclicity and if an operator T satisfies this criterion, then T circle plus T is subspace-frequently hypercyclic. Additionally, operators on finite spaces can not be subspace-frequently hypercyclic.

引用

页码：107 / 116

页数：10

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