Singular value and norm inequalities involving the numerical radii of matrices

被引：0
|
作者：
Al-Natoor, Ahmad [1 ]
Hirzallah, Omar [2 ]
Kittaneh, Fuad [3 ]
机构：
[1] Isra Univ, Fac Sci, Dept Math, Amman 11622, Jordan
[2] Hashemite Univ, Fac Sci, Dept Math, Zarqa, Jordan
[3] Univ Jordan, Dept Math, Amman, Jordan
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2024年 / 15卷 / 01期
关键词：
Singular value; Spectral norm; Numerical radius; Unitarily invariant norm; Positive semidefinite matrix; Accretive-dissipative matrix; Normal matrix; Inequality;
D O I：
10.1007/s43034-023-00311-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that if A, B, X, and Y are n x n complex matrices, such that X and Y are positive semidefinite, then s(j) (AXB* + BYA*) <= (||A|| ||B|| + omega (A*B)) s(j) (X circle plus Y) for j = 1, 2, . . . , n, and if A is accretive-dissipative, then |||A*XA - AXA*||| <= 3 omega(2) (A) |||X||| for every unitarily invariant norm, where s(j) (T), ||T||, and omega(T) are the j(th) largest singular value of T, the spectral norm of T, and the numerical radius of T, respectively.
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页数：14
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