On property (aω) and hypercyclic/supercyclic operators

被引：0

作者：

Akrym, Abdellah ^{[1
]}

EL Bakkali, Abdeslam ^{[1
]}

Faouzi, Abdelkhalek ^{[1
]}

机构：

[1] Chouaib Doukkali Univ, Fac Sci, El Jadida, Morocco

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 48期

关键词：

a-Weyl's theorem; a-Browder's theorem; property(omega); property(a omega); hypercyclic/supercyclic operators; single valued extension property; F(T);

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that property (a omega) holds for the adjoint of hyper-cyclic/ supercyclic operator. Also, we characterize hypercyclic/ supercyclic operators satisfying the property (a omega). We establish that for a hypercyclic/ supercyclic operators, the property (a omega) holds if and only if property (omega) holds, if and only if a-Weyl's theorem holds.

引用

页码：173 / 184

页数：12

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El Bakkali, Abdeslam
Faouzi, Abdelkhalek
[J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (48): : 173 - 184
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