可分Banach空间的supercyclic子空间

J4 ›› 2012, Vol. 47 ›› Issue (10): 102-104.

可分Banach空间的supercyclic子空间

李梦巧,赵显锋*,舒永录

重庆大学数学与统计学院, 重庆 401331

收稿日期:2011-12-05 出版日期:2012-11-20 发布日期:2012-10-26
通讯作者: 赵显锋(1985- ), 男, 博士研究生,研究方向为泛函分析(算子理论).Email:zhaoxianfengaaa@163.com
作者简介:李梦巧(1989- ),女，硕士研究生，研究方向为泛函分析(算子理论). Email:limengqiao1989@126.com
基金资助:
国家自然科学青年基金资助项目(11001284);重庆市自然科学基金资助项目(CSTC,2009BB3185)

Supercyclic subspace of a separable Banach space

LI Meng-qiao, ZHAO Xian-feng*, SHU Yong-lu

College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Received:2011-12-05 Online:2012-11-20 Published:2012-10-26

摘要/Abstract

摘要：

考虑B(X)上的算子范数拓扑和强算子拓扑,讨论了的左乘映射与supercyclic算子T在超循环性上存在的一些关系,并给出了T的supercyclic子空间存在的充分条件。

关键词: supercyclic算子; 左乘映射; supercyclicity准则; supercyclic子空间

Abstract:

By considering the operator norm topology and strong operator topology, the relationships between the left multiplication mapping and a supercyclic operator T are discussed, and a sufficient condition for T to have supercyclic subspace is also obtained.

Key words: supercyclic operator; left multiplication mapping; supercyclicity criterion; supercyclic subspace

李梦巧,赵显锋*,舒永录. 可分Banach空间的supercyclic子空间[J]. J4, 2012, 47(10): 102-104.

LI Meng-qiao, ZHAO Xian-feng*, SHU Yong-lu. Supercyclic subspace of a separable Banach space[J]. J4, 2012, 47(10): 102-104.

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