Left Invertible Completions of Upper Triangular Operator Matrices with Unbounded Entries  

作　　者：Ya-ru QI Jun-jie HUANG ALATANCANG 

机构地区：[1]School of Mathematical Sciences, Inner Mongolia University [2]College of Sciences, Inner Mongolia University of Technology [3]Hohhot University for Nationalities

出　　处：《Acta Mathematicae Applicatae Sinica》2015年第2期369-374,共6页应用数学学报（英文版）

基　　金：partially supported by the Natural Science Foundation of China(Nos.11461049 and 11371185);the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20111501110001);the ‘Chunhui Program’ of the Ministry of Education of China(No.Z2009-1-01010);the Major Program of the National Natural Science Foundation of Inner Mongolia(No.2013ZD01);the National Science Foundation for Fostering Distinguished Young Scholars of Inner Mongolia(No.2013JQ01);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia(No.NJYT-12-B06)

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.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.

关 键 词：upper triangular operator matrix left invertibility COMPLETION perturbation left spectrum 

分 类 号：O151.21[理学—数学]