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Left Unitarily Invariant Norms on Matrices

, 2006
DOMON, MASUMI, SANO, TAKASHI, TOBA, TOMOHIDE   +2 more
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Interpolating inequalities for unitarily invariant norms of matrices

Advances in Operator Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad Al-Natoor, Fuad Kittaneh, Al-Natoor Ahmad   +2 more
exaly   +4 more sources

Unitarily invariant norms on dual quaternion matrices

Pacific Journal of Optimization, 2023
Summary: Dual quaternion matrices have recently received significant attention in research. In this paper, we primarily investigate unitarily invariant norms of dual quaternion matrices. We first introduce symmetric gauge function on dual numbers and establish a one-to-one correspondence between unitarily invariant norms of dual quaternion matrices and
Chen, Sheng, Hu, Haofei
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Inequalities for Unitarily Invariant Norms

SIAM Journal on Matrix Analysis and Applications, 1998
Let \(A,B,X\) be complex matrices with \(A,B\) positive semidefinite. The author proves the following generalization of the arithmetic-mean inequality due to \textit{R. Bhatia} and \textit{C. Davis} [ibid. 14, No. 1, 132-136 (1993; Zbl 0767.15012]: \[ (2+t)\| A^rXB^{2-r}+A^{2-r}XB^r\| \leq 2\| A^2X+tAXB+XB^2\| \] for arbitrary unitarily invariant norm \
Xingzhi Zhan
exaly   +2 more sources

Unitarily Invariant Operator Norms

Canadian Journal of Mathematics, 1983
1.1. Over the past 15 years there has grown up quite an extensive theory of operator norms related to the numerical radius1of a Hilbert space operator T. Among the many interesting developments, we may mention:(a) C. Berger's proof of the “power inequality”2(b) R. Bouldin's result that3for any isometry V commuting with T;(c) the unification by B.
Fong, C.-K., Holbrook, J. A. R.
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Inequalities for Unitarily Invariant Norms

, 2018
Tin-Yau Tam, Xuhua Liu
semanticscholar   +3 more sources

Interpolating inequalities for unitarily invariant norms and numerical radii of matrices

Quaestiones Mathematicae
In this paper, which is a continuation of our works in [9] and [10], we prove several interpolating inequalities for norms and numerical radii of matrices. Special cases of our results present refinements of some known inequalities.
Ahmad Al-Natoor, Omar Hirzallah, Fuad Kittaneh   +2 more
exaly   +2 more sources

Unitarily Invariant Norms and Rearrangement

Grundlehren der mathematischen Wissenschaften, 2019
In the next chapter, we will discuss some operator norm inequalities for matrix monotone functions and also some functions which are functional inverses of matrix monotone functions.
B. Simon
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A note on unitarily invariant matrix norms

Linear Algebra and its Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Wenxuan, Li, Chi-Kwong, Li, Yuqiao
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