Weyl Spectrum of Upper Triangular Operator Matrices

被引：0
|
作者：
Xiu Feng WU [1 ]
Jun Jie HUANG [2 ]
机构：
[1] School of Mathematical Sciences, Inner Mongolia Normal University
[2] School of Mathematical Sciences, Inner Mongolia
来源：
ActaMathematicaSinica | 2020年 / 36卷 / 07期
关键词：
D O I：
暂无
中图分类号：
O177 [泛函分析]; O151.21 [矩阵论];
学科分类号：
070104 ;
摘要：
This paper is concerned with general n × n upper-triangular operator matrices with given diagonal entries. The characterizations of perturbations of their left(resp. right) Weyl spectrum and Weyl spectrum are given, based on the space decomposition technique. Moreover, some sufficient and necessary conditions are given under which the left(resp. right) Weyl spectrum and the Weyl spectrum of such operator matrix, respectively, coincide with the union of the left(resp. right) Weyl spectrum and the Weyl spectrum of its diagonal entries.
引用
收藏
页码：783 / 796
页数：14
相关论文
共 50 条
  • [1] Weyl Spectrum of Upper Triangular Operator Matrices
    Xiu Feng Wu
    Jun Jie Huang
    Acta Mathematica Sinica, English Series, 2020, 36 : 783 - 796
  • [2] Weyl Spectrum of Upper Triangular Operator Matrices
    Xiu Feng WU
    Jun Jie HUANG
    Acta Mathematica Sinica,English Series, 2020, 36 (07) : 783 - 796
  • [3] Weyl Spectrum of Upper Triangular Operator Matrices
    Wu, Xiu Feng
    Huang, Jun Jie
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 36 (07) : 783 - 796
  • [4] Generalized Weyl Spectrum of Upper Triangular Operator Matrices
    Guangfang Li
    Guojun Hai
    Alatancang Chen
    Mediterranean Journal of Mathematics, 2015, 12 : 1059 - 1067
  • [5] Generalized Weyl Spectrum of Upper Triangular Operator Matrices
    Li, Guangfang
    Hai, Guojun
    Chen, Alatancang
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (03) : 1059 - 1067
  • [6] Weyl's theorem for upper triangular operator matrices
    Cao, XH
    Guo, MZ
    Meng, B
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 402 : 61 - 73
  • [7] BROWDER AND WEYL SPECTRA OF UPPER TRIANGULAR OPERATOR MATRICES
    Duggal, B. P.
    FILOMAT, 2010, 24 (02) : 111 - 130
  • [8] Essential spectrum of upper triangular operator matrices
    Wu, Xiufeng
    Huang, Junjie
    ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (03) : 780 - 798
  • [9] Essential spectrum of upper triangular operator matrices
    Xiufeng Wu
    Junjie Huang
    Annals of Functional Analysis, 2020, 11 : 780 - 798
  • [10] Variations of Weyl Type Theorems for Upper Triangular Operator Matrices
    Mohammad H. M. Rashid
    Acta Mathematica Vietnamica, 2021, 46 : 719 - 735
12345