Banach空间上的闭强不可约算子  

Closed Strongly Irreducible Operators on Banach Spaces

作　　者：林丽琼[1] 阙佳华 张云南[2] Li Qiong LIN;Jia Hua QUE;Yun Nan ZHANG(School of Mathematics and Statistics,Fuzhou University,Fuzhou 350108,P.R.China;School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350108,P.R.China)

机构地区：[1]福州大学数学与统计学院,福州350108 [2]福建师范大学数学与统计学院,福州350108

出　　处：《数学学报（中文版）》2023年第2期209-222,共14页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11971108);福建省自然科学基金资助项目(2020J01496)。

摘　　要：本文首先给出Banach空间上闭强不可约算子的定义,并给出一个无界强不可约算子的例子;其次给出闭强不可约算子的性质,特别地,给出了闭强不可约算子的一些等价描述;最后给出上三角算子矩阵表示的闭算子具有强不可约性的一些充分条件.This paper firstly gives the definition of closed strongly irreducible operators on Banach spaces and gives an example of unbounded strongly irreducible operator.It obtains some properties of closed strongly irreducible operators.In particular,it obtains some equivalent descriptions of closed strongly irreducible operators.It also demonstrates some sufficient conditions for the strongly irreducibility of closed operators which have the forms of upper triangular operator matrices.

关 键 词：BANACH空间 闭算子 强不可约算子 

分 类 号：O177.2[理学—数学]