Matrix Hölder inequalities and numerical radius applications

被引：0

作者：

Audeh, Wasim ^{[1
]}

Moradi, Hamid Reza ^{[2
]}

Sababheh, Mohammad ^{[3
]}

机构：

[1] Univ Petra, Dept Math, Amman, Jordan

[2] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Iran

[3] Princess Sumaya Univ Technol, Dept Basic Sci, Amman, Jordan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 696卷

关键词：

Cauchy-Schwarz inequality; Hilder inequality; Unitarily invariant norm; Numerical radius; Aluthge transform; NORM INEQUALITIES;

D O I：

10.1016/j.laa.2024.05.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some weighted H & ouml;lder-type inequalities for N - tuple of n x n complex matrices, with applications that include refined bounds for the norm of the sum of two matrices, the numerical radius of a matrix and the numerical radius for the product of two matrices. The relation with the existing literature will be discussed, where some results are proven to be improvements of celebrated results in the literature. Further, numerical examples are given to support the significance of other results. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：68 / 84

页数：17

共 22 条

[1] Holder-type inequalities involving unitarily invariant norms
Albadawi, Hussien
[J]. POSITIVITY, 2012, 16 (02) : 255 - 270
[2] ON P-HYPONORMAL OPERATORS FOR 0 LESS-THAN P LESS-THAN 1
ALUTHGE, A
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1990, 13 (03) : 307 - 315
[3] INTERPOLATING BETWEEN THE ARITHMETIC-GEOMETRIC MEAN AND CAUCHY-SCHWARZ MATRIX NORM INEQUALITIES
Audenaert, Koenraad M. R.
[J]. OPERATORS AND MATRICES, 2015, 9 (02): : 475 - 479
[4] MORE MATRIX-FORMS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY
BHATIA, R
DAVIS, C
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1993, 14 (01) : 132 - 136
[5] Furtherance of numerical radius inequalities of Hilbert space operators
Bhunia, Pintu
Paul, Kallol
[J]. ARCHIV DER MATHEMATIK, 2021, 117 (05) : 537 - 546
[6] Cho M., 2002, SCI MATH JPN, V55, P77
[7] Furuta T., 2001, INVITATION LINEAR OP
[8] A Convex Treatment of Numerical Radius Inequalities
Heydarbeygi, Zahra
Sababheh, Mohammad
Moradi, Hamid
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2022, 72 (02) : 601 - 614
[9] Numerical Radius Inequalities for Certain 2 x 2 Operator Matrices
Hirzallah, Omar
Kittaneh, Fuad
Shebrawi, Khalid
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (01) : 129 - 147
[10] Inequalities for C-S seminorms and Lieb functions
Horn, RA
Zhan, XZ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 291 (1-3) : 103 - 113

← 1 2 3 →