On the Davis-Wielandt radius inequalities of Hilbert space Operators

被引：6
|
作者：
Alomari, M. W. [1 ]
机构：
[1] Irbid Natl Univ, Fac Sci & Informat Technol, Dept Math, POB 2600, Irbid 21110, Jordan
来源：
LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 11期
关键词：
Davis-Wielandt radius; Davis-Wielandt shell; n x n operator; NUMERICAL RADIUS; NORM INEQUALITIES; RANGE; SHELL;
D O I：
10.1080/03081087.2022.2081308
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, some new upper and lower bounds for the Davis-Wielandt radius are introduced. Generalizations of some presented results are obtained. Some bounds for the Davis-Wielandt radius for n x n operator matrices are established. An extension of the Davis-Wielandt radius to the Euclidean operator radius is introduced.
引用
收藏
页码：1804 / 1828
页数：25
相关论文
共 50 条
  • [41] Furtherance of numerical radius inequalities of Hilbert space operators
    Pintu Bhunia
    Kallol Paul
    Archiv der Mathematik, 2021, 117 : 537 - 546
  • [42] FURTHER INEQUALITIES FOR THE NUMERICAL RADIUS OF HILBERT SPACE OPERATORS
    Tafazoli, Sara
    Moradi, Hamid Reza
    Furuichi, Shigeru
    Harikrishnan, Panackal
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (04): : 955 - 967
  • [43] Numerical Radius Inequalities for Commutators of Hilbert Space Operators
    Hirzallah, Omar
    Kittaneh, Fuad
    Shebrawi, Khalid
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (07) : 739 - 749
  • [44] SOME INEQUALITIES FOR THE NUMERICAL RADIUS FOR HILBERT SPACE OPERATORS
    Hosseini, Mohsen Shah
    Omidvar, Mohsen Erfanian
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 94 (03) : 489 - 496
  • [45] Some Inequalities for the Numerical Radius of Hilbert Space Operators
    Gao, Fugen
    Hu, Yijuan
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 18 (07)
  • [46] Norm and numerical radius inequalities for Hilbert space operators
    Bani-Domi, Watheq
    Kittaneh, Fuad
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (05): : 934 - 945
  • [47] Furtherance of numerical radius inequalities of Hilbert space operators
    Bhunia, Pintu
    Paul, Kallol
    ARCHIV DER MATHEMATIK, 2021, 117 (05) : 537 - 546
  • [48] DAVIS-WIELANDT-BEREZIN RADIUS INEQUALITIES VIA DRAGOMIR INEQUALITIES
    Tapdigoglu, Ramiz
    Gurdal, Mehmet
    Altwaijry, Najla
    Sari, Nur
    OPERATORS AND MATRICES, 2021, 15 (04): : 1445 - 1460
  • [49] The normalized numerical range and the Davis-Wielandt shell
    Lins, Brian
    Spitkovsky, Ilya M.
    Zhong, Siyu
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 546 : 187 - 209
  • [50] Refinement of numerical radius inequalities of complex Hilbert space operators
    Bhunia, Pintu
    Paul, Kallol
    ACTA SCIENTIARUM MATHEMATICARUM, 2023, 89 (3-4): : 427 - 436
12345