Inequalities for Numerical Radius and Spectral Radius

被引：0
|
作者：
Al-Hawari, M. [1 ]
Barahmeh, Sa'ed M. [1 ]
机构：
[1] Irbid Natl Univ, Irbid 21110, Jordan
来源：
JOURNAL OF ADVANCED MATHEMATICS AND APPLICATIONS | 2016年 / 5卷 / 02期
关键词：
Numerical Radius; Usual Operator Norm; Spectral Radius;
D O I：
10.1166/jama.2016.1108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study some inequalities for numerical radius and spectral radius of a bounded linear operator on a Hilbert space. We study the notion of numerical radius and the notion of spectral radius. At the end, we present special inequalities which can be used in mathematical analysis.
引用
收藏
页码：131 / 133
页数：3
相关论文
共 50 条
  • [1] Notes on some spectral radius and numerical radius inequalities
    Abu-Omar, Amer
    Kittaneh, Fuad
    STUDIA MATHEMATICA, 2015, 227 (02) : 97 - 109
  • [2] Numerical radius and spectral radius inequalities with an estimation for roots of a polynomial
    Bhunia, Pintu
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
  • [3] SOME INEQUALITIES FOR THE NUMERICAL RADIUS AND RHOMBIC NUMERICAL RADIUS
    Bajmaeh, Akram Babri
    Omidvar, Mohsen Erfanian
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (04): : 569 - 577
  • [4] Spectral radius, numerical radius, and the product of operators
    Alizadeh, Rahim
    Asadi, Mohammad B.
    Cheng, Che-Man
    Hong, Wanli
    Li, Chi-Kwong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (01) : 639 - 645
  • [5] Maps preserving spectral radius, numerical radius, spectral norm
    Li, Chi-Kwong
    Poon, Edward
    Rastogi, Ashwin
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2007, 16 : 347 - 365
  • [6] A GENERALIZATION OF SPECTRAL-RADIUS, NUMERICAL RADIUS, AND SPECTRAL NORM
    LI, CK
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 90 : 105 - 118
  • [7] The ratios between the spectral norm, the numerical radius and the spectral radius
    Du, Kui
    International Journal of Computational and Mathematical Sciences, 2010, 4 (08): : 384 - 387
  • [8] On Refinements of Numerical Radius Inequalities
    Javariya Hyder
    Muhammad Saeed Akram
    Iranian Journal of Science, 2023, 47 : 915 - 925
  • [9] Applications of numerical radius inequalities
    Al-Boustanji, Anwar
    Audeh, Wasim
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (03): : 1305 - 1312
  • [10] Mean Inequalities for the Numerical Radius
    Kittaneh, Fuad
    Moradi, Hamid Reza
    Sababheh, Mohammad
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2023, 44 (14) : 1523 - 1537
12345