Supercyclic算子族的公共超循环向量  

Common Supercyclic Vectors for a Family of Supercyclic Operators

作　　者：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：《西南大学学报（自然科学版）》2012年第4期101-104,共4页Journal of Southwest University(Natural Science Edition)

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：讨论一族不可数的Supercyclic算子{Ft}t∈Λ的公共Supercyclic向量,并给出算子族{Ft}t∈Λ的公共Supercyclic向量在无限维、可分的Banach空间X中是稠密集的两个新的充分条件.cussed, a percyclic The commom Supercyclic vectors for an uncountable family of Supercyclic operators are dis nd two new sufficient conditions for this family of operators to have a dense set of common Su vectors are obtained.

关 键 词：Supercyclic算子 公共Supercyclic向量 稠密集 

分 类 号：O177.1[理学—数学]