Generalized Kato type operators and property (ω) under perturbations

被引:6
|
作者
Cao, Xiaohong [1 ]
Liu, Aifang [1 ]
机构
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
关键词
Generalized Kato type; Property (omega); Spectrum; WEYLS THEOREM;
D O I
10.1016/j.laa.2011.10.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note we give the definition of generalized Kato type and establish for a bounded linear operator defined on a Hilbert space the sufficient and necessary conditions for which property (omega) holds by means of the induced spectrum of generalized Kato property. In addition, the stability of property (omega) is discussed. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:2231 / 2239
页数:9
相关论文
共 50 条
  • [1] Polaroid type operators under perturbations
    Aiena, Pietro
    Aponte, Elvis
    STUDIA MATHEMATICA, 2013, 214 (02) : 121 - 136
  • [2] Generalized Variational Inequalities with Pseudomonotone Operators Under Perturbations
    M. B. Lignola
    J. Morgan
    Journal of Optimization Theory and Applications, 1999, 101 : 213 - 220
  • [3] Generalized variational inequalities with pseudomonotone operators under perturbations
    Lignola, MB
    Morgan, J
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 101 (01) : 213 - 220
  • [4] Generalized variational inequalities with pseudomonotone operators under perturbations
    Dipto. di Matemat. e Applicazioni R., Università di Napoli, Napoli, Italy
    J. Optim. Theory Appl., 1 (213-220):
  • [5] Quasi-nilpotent perturbations of the generalized Kato spectrum
    Benharrat, Mohammed
    Messirdi, Bekkai
    GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (03) : 329 - 335
  • [6] GENERALIZED QUADRATIC OPERATORS AND PERTURBATIONS
    Souilah, Khalid
    MATHEMATICA BOHEMICA, 2022, 147 (01): : 51 - 63
  • [7] Generalized Kato-meromorphic decomposition, generalized Drazin-meromorphic invertible operators and single-valued extension property
    S. Č. Živković-Zlatanović
    B. P. Duggal
    Banach Journal of Mathematical Analysis, 2020, 14 : 894 - 914
  • [8] Generalized Kato-meromorphic decomposition, generalized Drazin-meromorphic invertible operators and single-valued extension property
    Zivkovic-Zlatanovic, S. C.
    Duggal, B. P.
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 14 (03) : 894 - 914
  • [9] Compact perturbations of operators with property (t)
    Yu, Xinling
    Shi, Weijuan
    Ji, Guoxing
    OPEN MATHEMATICS, 2021, 19 (01): : 1406 - 1415
  • [10] Property (w) for perturbations of polaroid operators
    Aiena, Pietro
    Guillen, Jesus R.
    Pena, Pedro
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (8-9) : 1791 - 1802