Results 31 to 40 of about 581 (209)

Inequalities for unitarily invariant norms [PDF]

Journal of Mathematical Inequalities, 2012
Limin Zou, Youyi Jiang
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A note on some inequalities for unitarily invariant norms [PDF]

Journal of Mathematical Inequalities, 2015
Jianm ng Xue, Xing ai Hu
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Unitarily invariant norms related to the numerical radius

Linear Algebra and Its Applications, 2006
AbstractWe determine the maximum in the class of unitarily invariant norms ∥·∥ such that w(A)⩾∥A∥ for all n-square matrices A. Here w(A) denotes the numerical radius of A.
exaly   +2 more sources

Matrix inequalities for unitarily invariant norms [PDF]

ScienceAsia, 2018
Zhao Jianguo
  +4 more sources

SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS [PDF]

The Quarterly Journal of Mathematics, 1960
L. Mirsky
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Several unitarily invariant norm inequalities for matrices

Annals of Functional Analysis
This paper presents new inequalities involving unitarily invariant norms of matrices, extending classical results such as the Cauchy-Schwarz and arithmetic-geometric mean inequalities in the matrix setting. The authors build upon and generalize recent work by \textit{K. M. R. Audenaert} [Oper. Matrices 9, No.
Junjian Yang
exaly   +3 more sources

On weakly unitarily invariant norm and the Aluthge transformation

Linear Algebra and its Applications, 2003
The main result: \(|||f(P^\lambda UP^{1-\lambda})|||\leq \max\{|||f(T)|||, |||U^* f(T)U+ f(0)(I- U^* U)|||\}\), where \(T\in B(H)\) is a bounded linear operator on a Hilbert space \(H\), \(f\) is a polynomial, and \(|||\cdot|||\) is a seminorm on \(H\) which satisfies the following two conditions: a) \(\exists\gamma> 0\) such that \(|||X|||\leq \gamma\|
K. Okubo, Okubo, K.
openaire   +3 more sources

UNITARILY INVARIANT NORM AND <i>Q</i>-NORM ESTIMATIONS FOR THE MOORE–PENROSE INVERSE OF MULTIPLICATIVE PERTURBATIONS OF MATRICES

Journal of Applied Analysis and Computation, 2020
Luo Juan
exaly   +2 more sources

Two inequalities of unitarily invariant norms for matrices [PDF]

ScienceAsia, 2019
Xuesha Wu
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Some Singular Value Inequalities for Sector Matrices Involving Operator Concave Functions

Journal of Mathematics, 2022
In this paper, we give some singular value inequalities for sector matrices involving operator concave function, which are generalizations of some existing results. Moreover, we present some unitarily invariant norm inequalities for sector matrices.
Chaojun Yang
doaj   +1 more source