Some questions about subspace-hypercyclic operators

被引：15

作者：

Jimenez-Munguia, R. R. ^{[1
]}

Martinez-Avendano, R. A. ^{[2
]}

Peris, A. ^{[3
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

[2] Univ Autonoma Estado Hidalgo, Ctr Invest Matemat, Pachuca 42184, Hidalgo, Mexico

[3] Univ Politecn Valencia, Dept Matemat Aplicada, IUMPA, Valencia 46022, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 408卷 / 01期

关键词：

Hypercyclic operators; Subspace-hypercyclic operators;

D O I：

10.1016/j.jmaa.2013.05.068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A bounded linear operator T on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) boolean AND M is dense in M for a vector x is an element of M. We show examples that answer some questions posed by H. Rezaei (2013) [7]. In particular, we provide an example of an operator T such that Orb(T, x) boolean AND m is somewhere dense in M, but it is not everywhere dense in M. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：209 / 212

页数：4

共 7 条

[1]

[Anonymous], DYNAMICS LINEAR OPER

[2]

Bourdon PS, 2003, INDIANA U MATH J, V52, P811

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[4]

Grivaux S., 2003, REV MAT COMPLUT, V16, P383

[5]

Grosse-Erdmann K.G., 2011, UNIVERSITEXT

[6] Subspace hypercyclicity [J].

Madore, Blair F. ;

Martinez-Avendano, Ruben A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) :502-511

[7] Notes on subspace-hypercyclic operators [J].

Rezaei, H. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 397 (01) :428-433

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