Numerical radius inequalities via block matrices

被引：0
|
作者：
Audeh, Wasim [1 ]
Al-Labadi, Manal [1 ]
Al-Naimi, Raja'a [1 ]
机构：
[1] Univ Petra, Dept Math, Amman, Jordan
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2024年
关键词：
Inequality; Numerical radius; Operator; Norm;
D O I：
10.1007/s44146-024-00164-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove new numerical radius bounds that generalize some well-known results in the literature. For example, we prove that if A, B, X, Y are bounded linear operators on a complex separable Hilbert space H such that A and B are positive, then w(AX + YB) <= root|| A + B || || X (& lowast;) AX + YBY & lowast; ||. This inequality generalizes a celebrated inequality proved by Kittaneh which states that: w(2)(A) <= 1/2|| A(& lowast;)A+AA(& lowast;) ||.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
    Burqan, Aliaa
    Alkhalely, Saeed
    Conde, Cristian
    FILOMAT, 2023, 37 (19) : 6355 - 6363
  • [22] Weighted numerical radius inequalities for operator and operator matrices
    Nayak, Raj Kumar
    ACTA SCIENTIARUM MATHEMATICARUM, 2024, 90 (1-2): : 193 - 206
  • [23] Weighted numerical radius inequalities for operator and operator matrices
    Raj Kumar Nayak
    Acta Scientiarum Mathematicarum, 2024, 90 : 193 - 206
  • [24] A Convex-Block Approach to Numerical Radius Inequalities
    Sababheh, Mohammad
    Conde, Cristian
    Moradi, Hamid Reza
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023, 57 (SUPPL 1) : 26 - 30
  • [25] NUMERICAL RADIUS INEQUALITIES VIA TRIANGLE-TYPE INEQUALITIES
    Timroi, Badria
    Omidvar, Mohsen Erfanian
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (03) : 951 - 958
  • [26] Some improvements of numerical radius inequalities of operators and operator matrices
    Bhunia, Pintu
    Paul, Kallol
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (10): : 1995 - 2013
  • [27] Numerical Radius Inequalities for Certain 2 × 2 Operator Matrices
    Omar Hirzallah
    Fuad Kittaneh
    Khalid Shebrawi
    Integral Equations and Operator Theory, 2011, 71 : 129 - 147
  • [28] Numerical radius inequalities involving accretive-dissipative matrices
    Sakkijha, Mona
    Aldabbas, Eman
    Yasin, Omar
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2021, 16 (04): : 1445 - 1454
  • [29] GENERAL NUMERICAL RADIUS INEQUALITIES FOR MATRICES OF HILBERT SPACE OPERATORS
    Al-Dolat, Mohammed
    Al-Zoubi, Khaldoun
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (04): : 1365 - 1373
  • [30] Birkhoff–James orthogonality and numerical radius inequalities of operator matrices
    Arpita Mal
    Kallol Paul
    Jeet Sen
    Monatshefte für Mathematik, 2022, 197 : 717 - 731
12345