Left Invertible Completions of Upper Triangular Operator Matrices with Unbounded Entries

被引：0
|
作者：
Ya-ru QI [1 ,2 ]
Jun-jie HUANG [1 ]
ALATANCANG [1 ,3 ]
机构：
[1] School of Mathematical Sciences, Inner Mongolia University
[2] College of Sciences, Inner Mongolia University of Technology
[3] Hohhot University for Nationalities
来源：
Acta Mathematicae Applicatae Sinica | 2015年 / 31卷 / 02期
基金：
美国国家科学基金会; 高等学校博士学科点专项科研基金;
关键词：
upper triangular operator matrix; left invertibility; completion; perturbation; left spectrum;
D O I：
暂无
中图分类号：
O151.21 [矩阵论];
学科分类号：
070104 ;
摘要：
Given two closed, in general unbounded, operators A and C, we investigate the left invertible completion of the partial operator matrix A ? 0 C. Based on the space decomposition technique, the alternative sufficient and necessary conditions are given according to whether the dimension of R(A)⊥ is finite or infinite.As a direct consequence, the perturbation of left spectra is further presented.
引用
收藏
页码：369 / 374
页数：6
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