Compact perturbations of both SVEP and Weyl's theorem for 3 x 3 upper triangular operator matrices

被引：1
作者：
Dong, Jiong [1 ]
Cao, Xiaohong [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2020年 / 68卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Weyl's theorem; SVEP; spectrum; operator matrix;
D O I：
10.1080/03081087.2019.1567676
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the stability of Weyl's theorem and the stability of SVEP for3x3upper triangular operator matrices, respectively. Also, we characterize the equivalent conditions when the stabilities of both Weyl's theorem and SVEP for3x3upper triangular operator matrices hold at the same time.
引用
收藏
页码：2020 / 2033
页数：14
相关论文
共 31 条
  • [21] Upper triangular operator matrices, asymptotic intertwining and Browder, Weyl theorems
    Duggal, Bhagwati P.
    Jeon, In Ho
    Kim, In Hyoun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [22] Upper triangular operator matrices, asymptotic intertwining and Browder, Weyl theorems
    Bhagwati P Duggal
    In Ho Jeon
    In Hyoun Kim
    Journal of Inequalities and Applications, 2013
  • [23] Self-adjoint perturbations of spectra for upper triangular operator matrices
    Wu, Xiufeng
    Huang, Junjie
    Chen, Alatancang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 531 : 1 - 21
  • [24] Semi-fredholm spectrum and Weyl's theorem for operator matrices
    Cao, XH
    Guo, MZ
    Meng, B
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (01) : 169 - 178
  • [25] Spectra of 2 x 2 Upper Triangular Operator Matrices
    Huang, Junjie
    Liu, Aichun
    Chen, Alatancang
    FILOMAT, 2016, 30 (13) : 3587 - 3599
  • [26] New approach to a-Weyl's theorem through localized SVEP and Riesz-type perturbations
    Ben Ouidren, Kaoutar
    Zariouh, Hassan
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (17) : 3231 - 3247
  • [27] Essential approximate point spectra and Weyl's theorem for operator matrices
    Cao, XH
    Meng, B
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 304 (02) : 759 - 771
  • [28] Invertible completions of 2 x 2 upper triangular operator matrices
    Han, JK
    Lee, HY
    Lee, WY
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (01) : 119 - 123
  • [29] The semi-Fredholmness and property (ω) for 2x2 upper triangular operator matrices
    Dong, Jiong
    Cao, Xiaohong
    LINEAR & MULTILINEAR ALGEBRA, 2024, 72 (15) : 2489 - 2503
  • [30] EIGENVALUES OF THE NEUMANN-POINCARE OPERATOR IN DIMENSION 3: WEYL'S LAW AND GEOMETRY
    Miyanishi, Y.
    Rozenblum, G.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2020, 31 (02) : 371 - 386
1234