Operators with common hypercyclic subspaces

被引：0

作者：

Aron, R ^{[1
]}

Bès, J

León, E

Peris, A

机构：

[1] Kent State Univ, Dept Math, Kent, OH 44242 USA

[2] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

[3] Univ Cadiz, Fac Derecho, Cadiz 11402, Spain

[4] Univ Politecn Valencia, D Matemat Aplicada, E-46022 Valencia, Spain

来源：

JOURNAL OF OPERATOR THEORY | 2005年 / 54卷 / 02期

关键词：

hypercyclic vectors; subspaces; and operators; universal families;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a reasonable sufficient condition for a countable family of operators to have a common hypercyclic subspace. We also extend a result of the third author and A. Montes [22], thereby obtaining a common hypercyclic subspace for certain countable families of compact perturbations of operators of norm no larger than one.

引用

页码：251 / 260

页数：10

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