DUAL HYPERCYCLIC EXTENSION FOR AN OPERATOR ON A HILBERT SUBSPACE

被引：0

作者：

Chan, Kit C. ^{[1
]}

Kadel, Gokul R. ^{[2
]}

机构：

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

[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2015年 / 41卷 / 04期

关键词：

Adjoint operators; dual hypercyclic operator; extension; hypercyclic vector; orthogonal decomposition; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a closed nontrivial subspace of a separable, infinite dimensional Hilbert space H with dim(H/M) = infinity. We show that a bounded linear operator A : M -> M has a dual hypercyclic extension T : H -> H if and only if its adjoint A* : M -> M is hypercyclic.

引用

页码：1221 / 1256

页数：36

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