可分Banach空间的supercyclic子空间  

Supercyclic subspace of a separable Banach space

作　　者：李梦巧[1] 赵显锋[1] 舒永录[1] 

机构地区：[1]重庆大学数学与统计学院,重庆401331

出　　处：《山东大学学报（理学版）》2012年第10期102-104,126,共4页Journal of Shandong University(Natural Science)

基　　金：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)

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。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.

关 键 词：supercyclic算子 左乘映射 supercyclicity准则 supercyclic子空间 

分 类 号：O117.1[理学—数学]