Results 1 to 10 of about 117 (106)
Some inequalities for unitarily invariant norms of matrices [PDF]
Journal of Inequalities and Applications, 2011 This article aims to discuss inequalities involving unitarily invariant norms. We obtain a refinement of the inequality shown by Zhan. Meanwhile, we give an improvement of the inequality presented by Bhatia and Kittaneh for the Hilbert-Schmidt norm ...
Wang Shaoheng, Zou Limin, Jiang Youyi
doaj +5 more sources
A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm [PDF]
Journal of Inequalities and Applications, 2018 Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile,
Xuesha Wu
doaj +2 more sources
Unitarily invariant norms on operators
Acta Scientiarum Mathematicarum, 2022 Let $f$ be a symmetric norm on ${\mathbb R}^n$ and let ${\mathcal B}({\mathcal H})$ be the set of all bounded linear operators on a Hilbert space ${\mathcal H}$ of dimension at least $n$. Define a norm on ${\mathcal B}({\mathcal H})$ by $\|A\|_f = f(s_1(A), \dots, s_n(A))$, where $s_k(A) = \inf\{\|A-X\|: X\in {\mathcal B}({\mathcal H}) \hbox{ has rank ...
Chi-Kwong Li, Li Chi-Kwong
exaly +3 more sources
Isometries for unitarily invariant norms
Linear Algebra and Its Applications, 2005 After a brief survey of results and proof techniques in the study of isometries for unitarily invariant norms on real and complex rectangular matrices, the paper presents a characterization of a class of linear isometries without the linearity assumption.
Chi-Kwong Li, Raymond Nung-Sing Sze
exaly +5 more sources
Some operator inequalities for unitarily invariant norms
Annals of Functional Analysis, 2017 This note aims to present some operator inequalities for unitarily invariant norms. First, a Zhan-type inequality for unitarily invariant norms is given. Moreover, some operator inequalities for the Cauchy–Schwarz type are also established.
Zhao, Jianguo, Wu, Junliang
exaly +3 more sources
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
Further Operator and Norm Versions of Young Type Inequalities [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this note, first the better refinements of Young and its reverse inequalities for scalars are given. Then, several operator and norm versions according to these inequalities are established.
Leila Nasiri, Mehdi Shams
doaj +1 more source
A class of unitarily invariant norms on 𝐵(𝐻) [PDF]
Proceedings of the American Mathematical Society, 2000 Let H H be a complex Hilbert space and let
Chan, JT, Tu, CCN, Li, CK
openaire +2 more sources
New proofs on two recent inequalities for unitarily invariant norms
Journal of Inequalities and Applications, 2020 In this short note, we provide alternative proofs for several recent results due to Audenaert (Oper. Matrices 9:475–479, 2015) and Zou (J. Math. Inequal. 10:1119–1122, 2016; Linear Algebra Appl. 552:154–162, 2019).
Junjian Yang, Linzhang Lu
doaj +1 more source
Inequalities for partial determinants of accretive block matrices
Journal of Inequalities and Applications, 2023 Let A = [ A i , j ] i , j = 1 m ∈ M m ( M n ) $A=[A_{i,j}]^{m}_{i,j=1}\in \mathbf{M}_{m}(\mathbf{M}_{n})$ be an accretive block matrix. We write det1 and det2 for the first and second partial determinants, respectively.
Xiaohui Fu +2 more
doaj +1 more source