GENERALIZED NUMERICAL RADIUS INEQUALITIES INVOLVING POSITIVE SEMIDEFINITE BLOCK MATRICES

被引：3
作者：
Al-Naddaf, Baha'a [1 ]
Burqan, Aliaa [1 ]
Kittaneh, Fuad [1 ]
机构：
[1] Zarqa Univ, Dept Math, Zarqa, Jordan
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 04期
关键词：
block matrix; Generalized numerical radius; positive semidefinite matrix; sectorial matrix; unitarily invariant norm;
D O I：
10.7153/jmi-2023-17-89
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are interested in generalized numerical radius inequalities for the off -diagonal part of a positive semidefinite block matrix. These inequalities produce a new set of inequalities for products and sums of matrices and some inequalities related to sectorial matrices.
引用
收藏
页码：1363 / 1370
页数：8
相关论文
共 19 条
  • [1] A generalization of the numerical radius
    Abu-Omar, Amer
    Kittaneh, Fuad
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 569 : 323 - 334
  • [2] Lieb functions and sectorial matrices
    Alakhrass, Mohammad
    Sababheh, Mohammad
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 586 : 308 - 324
  • [3] Hilbert-Schmidt numerical radius inequalities for operator matrices
    Aldalabih, Alaa
    Kittaneh, Fuad
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 581 : 72 - 84
  • [4] Norm inequalities involving the weighted numerical radii of operators
    Alrimawi, Fadi
    Hirzallah, Omar
    Kittaneh, Fuad
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 657 : 127 - 146
  • [5] Norm inequalities related to operator monotone functions
    Ando, T
    Zhan, XG
    [J]. MATHEMATISCHE ANNALEN, 1999, 315 (04) : 771 - 780
  • [6] On sectorial matrices
    Arlinskii, YM
    Popov, AB
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 370 : 133 - 146
  • [7] On the p-numerical radii of Hilbert space operators
    Benmakhlouf, Ahlem
    Hirzallah, Omar
    Kittaneh, Fuad
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (15) : 2813 - 2829
  • [8] ON THE SINGULAR-VALUES OF A PRODUCT OF OPERATORS
    BHATIA, R
    KITTANEH, F
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1990, 11 (02) : 272 - 277
  • [9] Bhatia R., 1997, Matrix Analysis
  • [10] GENERALIZED NUMERICAL RADIUS AND RELATED INEQUALITIES
    Bottazzi, T.
    Conde, C.
    [J]. OPERATORS AND MATRICES, 2021, 15 (04): : 1289 - 1308
12