New upper bounds for the numerical radius of Hilbert space operators

被引:52
|
作者
Bhunia, Pintu [1 ]
Paul, Kallol [1 ]
机构
[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India
来源
BULLETIN DES SCIENCES MATHEMATIQUES | 2021年 / 167卷
关键词
Numerical radius; Hilbert space; Bounded linear operator; Inequality;
D O I
10.1016/j.bulsci.2021.102959
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we present new upper bounds for the numerical radius of bounded linear operators defined on a complex Hilbert space. Further we obtain estimations for upper bounds for the numerical radius of the sum of the product of bounded linear operators. We show that the bounds obtained here improve on the existing well-known upper bounds. (C) 2021 Elsevier Masson SAS. All rights reserved.
引用
收藏
页数:11
相关论文
共 50 条
  • [1] Upper Bounds for the Numerical Radius of Hilbert Space Operators
    Jaafari, Elahe
    Asgari, Mohammad Sadegh
    Hosseini, Mohsen Shah
    Moosavi, Baharak
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2024, 48 (02) : 237 - 245
  • [2] Upper bounds for the numerical radius of Hilbert space operators
    Mansoori, Akram
    Omidvar, Mohsen Erfanian
    Shebrawi, Khalid
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (03) : 1473 - 1481
  • [3] Upper bounds for the numerical radius of Hilbert space operators
    Akram Mansoori
    Mohsen Erfanian Omidvar
    Khalid Shebrawi
    Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 1473 - 1481
  • [4] New upper bounds for the numerical radius of operators on Hilbert spaces
    Sahoo, Satyajit
    Rout, Nirmal Chandra
    ADVANCES IN OPERATOR THEORY, 2022, 7 (04)
  • [5] New upper bounds for the numerical radius of operators on Hilbert spaces
    Satyajit Sahoo
    Nirmal Chandra Rout
    Advances in Operator Theory, 2022, 7
  • [6] Some Upper Bounds for the Davis–Wielandt Radius of Hilbert Space Operators
    Ali Zamani
    Khalid Shebrawi
    Mediterranean Journal of Mathematics, 2020, 17
  • [7] Some Upper Bounds for the Davis-Wielandt Radius of Hilbert Space Operators
    Zamani, Ali
    Shebrawi, Khalid
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (01)
  • [8] General upper bounds for the numerical radius on complex Hilbert space
    Al-Dolat, Mohammed
    Al-Zoubi, Khaldoun
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2023, 26 (04) : 761 - 774
  • [9] Numerical Radius Inequalities for Products of Hilbert Space Operators
    Hosseini, M. Shah
    Moosavi, B.
    JOURNAL OF MATHEMATICAL EXTENSION, 2022, 16 (12)
  • [10] Furtherance of numerical radius inequalities of Hilbert space operators
    Pintu Bhunia
    Kallol Paul
    Archiv der Mathematik, 2021, 117 : 537 - 546