Improved lower bounds for numerical radius via Cartesian decomposition

被引:1
|
作者
Alrimawi, Fadi [1 ]
Abushaheen, Fuad A. [2 ,3 ]
Alkhateeb, Rami [1 ]
机构
[1] Al Ahliyya Amman Univ, Dept Basic Sci, Amman, Jordan
[2] Middle East Univ, Fac Arts & Educ Sci, Basic Sci Dept, Amman, Jordan
[3] Appl Sci Private Univ, Appl Sci Res Ctr, Amman, Jordan
来源
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2024年 / 33卷 / 02期
关键词
Numerical radius; operator norm; bounded linear operator; NORM INEQUALITIES;
D O I
10.22436/jmcs.033.02.05
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we derive various lower bounds for the numerical radius of operators that refine the well-known inequality w2(A) ? 14 IIA*A+AA*II.
引用
收藏
页码:169 / 175
页数:7
相关论文
共 50 条
  • [31] 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
  • [32] 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
  • [33] Estimation of bounds for the zeros of a polynomial using numerical radius
    Paul, Kallol
    Bag, Santanu
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 : 231 - 243
  • [34] BOUNDS FOR THE ZEROS OF POLYNOMIALS FROM NUMERICAL RADIUS INEQUALITIES
    Shebrawi, Khalid
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (02): : 557 - 563
  • [35] IMPROVED INEQUALITIES FOR THE NUMERICAL RADIUS: WHEN INVERSE COMMUTES WITH THE NORM
    Cain, Bryan E.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 97 (02) : 293 - 296
  • [36] INNER PRODUCT INEQUALITIES THROUGHCARTESIAN DECOMPOSITION WITH APPLICATIONSTO NUMERICAL RADIUS INEQUALITIES
    Nourbakhsh, Saeedatossadat
    Hassani, Mahmoud
    Omidvar, Mohsen Erfanian
    Moradi, Hamid Reza
    OPERATORS AND MATRICES, 2024, 18 (01): : 69 - 81
  • [37] ESTIMATES FOR THE NUMERICAL RADIUS AND THE SPECTRAL RADIUS OF THE FROBENIUS COMPANION MATRIX AND BOUNDS FOR THE ZEROS OF POLYNOMIALS
    Abu-Omar, Amer
    Kittaneh, Fuad
    ANNALS OF FUNCTIONAL ANALYSIS, 2014, 5 (01): : 56 - 62
  • [38] New Inequalities for Numerical Radius of Hilbert Space Operator And New Bounds For The Zeros Of Polynomials
    Al-Hawari, Mohammad
    Aldahash, Abdullah Ahmed
    2013 INTERNATIONAL CONFERENCE ON SCIENCE & ENGINEERING IN MATHEMATICS, CHEMISTRY AND PHYSICS (SCIETECH 2013), 2013, 423
  • [39] BOUNDS OF NUMERICAL RADIUS OF BOUNDED LINEAR OPERATORS USING t-ALUTHGE TRANSFORM
    Bag, Santanu
    Bhunia, Pintu
    Paul, Kallol
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (03): : 991 - 1004
  • [40] New Bounds for the Numerical Radius of a Matrix in Terms of Its Entries
    Frakis, Abdelkader
    KYUNGPOOK MATHEMATICAL JOURNAL, 2021, 61 (03): : 583 - 590