Weyl-type theorems for unbounded posinormal operators

被引:0
|
作者
Gupta, A. [1 ]
Mamtani, K. [2 ]
机构
[1] Delhi Coll Arts & Commerce, New Delhi, India
[2] Univ Delhi, New Delhi, India
关键词
Unbounded posinormal operators; Weyl's theorem; Browder's theorem;
D O I
10.3103/S1068362317040057
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For bounded linear operators, the study ofWeyl-type theorems and properties has been of significant interest for several non-normal classes of operators. In this paper, we extend this study to a class of unbounded posinormal operators. We define and study the spectral properties of unbounded posinormal and totally posinormal operators defined on an infinite dimensional complex Hilbert space H. For this class, under certain conditions several Weyl-type theorems and related properties are obtained.
引用
收藏
页码:191 / 197
页数:7
相关论文
共 50 条
  • [1] Weyl-type theorems for unbounded posinormal operators
    A. Gupta
    K. Mamtani
    [J]. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017, 52 : 191 - 197
  • [2] Weyl's theorems for posinormal operators
    Duggal, BP
    Kubrusly, C
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (03) : 529 - 541
  • [3] Weyl-Type Theorems
    Aiena, Pietro
    [J]. FREDHOLM AND LOCAL SPECTRAL THEORY II: WITH APPLICATION TO WEYL-TYPE THEOREMS, 2018, 2235 : 419 - 508
  • [4] Weyl Type Theorems for Unbounded Hyponormal Operators
    Gupta, Anuradha
    Mamtani, Karuna
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03): : 531 - 540
  • [5] ABSTRACT WEYL-TYPE THEOREMS
    Berkani, Mohammed
    [J]. MATHEMATICA BOHEMICA, 2016, 141 (04): : 495 - 508
  • [6] Weyl-type theorems and k-quasi-M-hyponormal operators
    Fei Zuo
    Hongliang Zuo
    [J]. Journal of Inequalities and Applications, 2013
  • [7] Weyl-type theorems and k-quasi-M-hyponormal operators
    Zuo, Fei
    Zuo, Hongliang
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [8] A NOTE ON WEYL-TYPE THEOREMS AND RESTRICTIONS
    Chen, Lihong
    Su, Weigang
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (02): : 190 - 198
  • [9] EXTENDED WEYL-TYPE THEOREMS FOR DIRECT SUMS
    Berkani, M.
    Kachad, M.
    Zariouh, H.
    [J]. DEMONSTRATIO MATHEMATICA, 2014, 47 (02) : 411 - 422
  • [10] Optimal Weyl-type inequalities for operators in Banach spaces
    Carl, Bernd
    Hinrichs, Aicke
    [J]. POSITIVITY, 2007, 11 (01) : 41 - 55