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

共 50 条

[21] Complemented hypercyclic subspaces
Petersson, Henrik
HOUSTON JOURNAL OF MATHEMATICS, 2007, 33 (02): : 541 - 553
[22] Hypercyclic operators are subspace hypercyclic
Bamerni, Nareen
Kadets, Vladimir
Kilicman, Adem
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 435 (02) : 1812 - 1815
[23] Common dense hypercyclic manifolds for translation and dilation operators
Papadimitropoulos, Christos
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2008, 53 (04) : 383 - 390
[24] COMMON HYPERCYCLIC VECTORS FOR FAMILIES OF BACKWARD SHIFT OPERATORS
Tsirivas, N.
JOURNAL OF OPERATOR THEORY, 2017, 77 (01) : 3 - 17
[25] Common hypercyclic functions for translation operators with large gaps
Tsirivas, Nikos
JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (07) : 2726 - 2751
[26] ε-hypercyclic operators that are not δ-hypercyclic for δ < ε
Bayart, Frederic
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 529 (02)
[27] Common invariant subspaces for collections of operators
Roman Drnovšek
Integral Equations and Operator Theory, 2001, 39 : 253 - 266
[28] Spectral theory and hypercyclic subspaces
León-Saavedra, F
Montes-Rodríguez, A
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 353 (01) : 247 - 267
[29] Hypercyclic subspaces in Frechet spaces
Bernal-González, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (07) : 1955 - 1961
[30] Hypercyclic subspaces of a Banach space
Kit C. Chan
Ronald D. Taylor
Integral Equations and Operator Theory, 2001, 41 : 381 - 388

← 1 2 3 4 5 →