NUMERICAL RADIUS INEQUALITIES FOR HILBERT SPACE OPERATORS

被引:1
|
作者
Al-Dolat, Mohammed [1 ]
Al-Zoubi, Khaldoun [1 ]
机构
[1] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 04期
关键词
Numerical radius; operator norm;
D O I
10.7153/jmi-10-83
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we give several inequalities involving powers numerical radii and the usual operator norms of Hilbert space operators. In particular, if A(i), B-i and X-i are bounded linear operators (i = 1,2, ... , n is an element of N), then we estimate the norm as well as the numerical radius to Sigma(n)(i=1) X(i)A(i)(m)B(i) for some m is an element of N.
引用
收藏
页码:1041 / 1049
页数:9
相关论文
共 50 条
  • [21] 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
  • [22] Norm and numerical radius inequalities for Hilbert space operators
    Bani-Domi, Watheq
    Kittaneh, Fuad
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (05) : 934 - 945
  • [23] Further norm and numerical radius inequalities for sum of Hilbert space operators
    Afraz, Davood
    Lashkaripour, Ramatollah
    Bakherad, Mojtaba
    FILOMAT, 2024, 38 (09) : 3235 - 3242
  • [24] SOME IMPROVEMENTS ABOUT NUMERICAL RADIUS INEQUALITIES FOR HILBERT SPACE OPERATORS
    Yang, Changsen
    Li, Dan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (01): : 219 - 234
  • [25] SHARP INEQUALITIES FOR THE NUMERICAL RADIUS OF HILBERT SPACE OPERATORS AND OPERATOR MATRICES
    Bhunia, Pintu
    Paul, Kallol
    Nayak, Raj Kumar
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021, 24 (01): : 167 - 183
  • [26] Novel p-numerical radius inequalities for Hilbert space operators
    Ahlem Benmakhlouf
    Abdelkader Frakis
    Fuad Kittaneh
    Abdelaziz Mennouni
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2025, 71 (3)
  • [27] SOME NEW NUMERICAL RADIUS AND HILBERT-SCHMIDT NUMERICAL RADIUS INEQUALITIES FOR HILBERT SPACE OPERATORS
    Yang, Chaojun
    Xu, Minghua
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (01): : 269 - 282
  • [28] Refinements of some numerical radius inequalities for Hilbert space operators
    Rashid, Mohammad H. M.
    TAMKANG JOURNAL OF MATHEMATICS, 2023, 54 (02): : 155 - 173
  • [29] Numerical Radius Inequalities for Products of Hilbert Space Operators II
    Abu-Omar, Amer
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (02) : 127 - 133
  • [30] Refinements of some numerical radius inequalities for Hilbert space operators
    Jena, Mamata Rani
    Das, Namita
    Sahoo, Satyajit
    FILOMAT, 2023, 37 (10) : 3043 - 3051