无界算子频繁超循环性的判定准则  

Frequently hypercyclicity criterion for unbounded linear operators

作　　者：赵显锋[1] 张晓燕 刘红军 ZHAO Xianfeng;ZHANG Xiaoyan;LIU Hongjun(College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China;School of Mathematical Sciences,Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]重庆大学数学与统计学院,重庆401331 [2]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2023年第4期36-39,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金(11701052);重庆市自然科学基金(cstc2019jcyj-msxmX0337);中央高校基金(2020CDJQY-A039,2020CDJ-LHSS-003);贵州省科学技术基金(黔科合基础[2020]1Y003)。

摘　　要：基于闭算子的性质,我们将频繁超循环性从有界线性算子的情形推广到无界线性算子的情形,从而给出一个使得无界线性算子频繁超循环的充分条件。In this paper,we extend the frequently hypercyclicity for bounded linear operators to the case of unbounded linear operators via the properties of closed operators.Thus we obtain a sufficient condition such that an unbounded linear operator to be frequently hypercyclic.

关 键 词：无界算子 频繁超循环算子 线性算子 

分 类 号：O177.2[理学—数学]