GEOMETRIC CHARACTERISTICS AND COMMON HYPERCYCLIC SUBSPACES

被引：0
|
作者：
Bes, Juan [1 ]
Martin, Oezgur [1 ]
机构：
[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
来源：
TOPOLOGY PROCEEDINGS, VOL 33 | 2009年 / 33卷
关键词：
Hypercyclic and universal vectors; SEPARABLE HILBERT-SPACE; SUPERCYCLIC OPERATORS; INVARIANT-MANIFOLDS; SOMEWHERE DENSE; FRECHET SPACES; VECTORS; UNIVERSAL; ORBITS; BEHAVIOR; ALGEBRA;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider geometric characteristics of countably many hypercyclic operators on a Banach space and study their effect on the existence of common hypercyclic subspaces.
引用
收藏
页码：197 / 209
页数：13
相关论文
共 50 条
  • [21] Hypercyclic orbits intersect subspaces in wild ways
    Moothathu, T. K. Subrahmonian
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (02) : 1183 - 1195
  • [22] Common hypercyclic vectors for the unitary orbit of a hypercyclic operator
    Chan, Kit C.
    Sanders, Rebecca
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (01) : 17 - 23
  • [23] Common hypercyclic vectors for the conjugate class of a hypercyclic operator
    Chan, Kit C.
    Sanders, Rebecca
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (01) : 139 - 148
  • [24] Semi-Fredholm theory:: Hypercyclic and supercyclic subspaces
    González, M
    León-Saavedra, F
    Montes-Rodríguez, A
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2000, 81 : 169 - 189
  • [25] Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators
    Bernal-Gonzalez, L.
    Calderon-Moreno, M. C.
    Jung, A.
    Prado-Bassas, J. A.
    CONSTRUCTIVE APPROXIMATION, 2019, 50 (02) : 323 - 339
  • [26] Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators
    L. Bernal-González
    M. C. Calderón-Moreno
    A. Jung
    J. A. Prado-Bassas
    Constructive Approximation, 2019, 50 : 323 - 339
  • [27] Hypercyclic subspaces for sequences of finite order differential operators
    Bernal-Gonzalez, L.
    Calderon-Moreno, M. C.
    Lopez-Salazar, J.
    Prado-Bassas, J. A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 546 (01)
  • [28] Disjoint and common hypercyclic algebras
    Frédéric Bayart
    Fernando Costa
    Dimitris Papathanasiou
    Israel Journal of Mathematics, 2022, 250 : 211 - 264
  • [29] Remarks on common hypercyclic vectors
    Shkarin, Stanislav
    JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (01) : 132 - 160
  • [30] Common Cesaro hypercyclic vectors
    Costakis, George
    STUDIA MATHEMATICA, 2010, 201 (03) : 203 - 226
12345