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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
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Interpolated inequalities for unitarily invariant norms
Linear Algebra and Its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Sababheh
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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
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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 ...
Chan, Jor-Ting, Li, Chi-Kwong
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A matrix inequality for unitarily invariant norms
Journal of Mathematical Inequalities, 2022 . In this paper, we present an inequality of matrix norms, which is a generalization of the inequality shown by Zou [Linear Algebra Appl. 562, 154–162].
Xin Jin, F ng Zhang, Ji li Xu
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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
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On Maps Preserving Unitarily Invariant Norms of the Spectral Geometric Mean
Journal of Applied Mathematics and Physics, 2021 We consider maps on positive definite cones of von Neumann algebras preserving unitarily invariant norms of the spectral geometric means. The main results concern Jordan *-isomorphisms between C*-algebras, and show that they are characterized by the ...
Liguang Wang
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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
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Local Lidskii's theorems for unitarily invariant norms [PDF]
Linear Algebra and its Applications, 2018 arXiv admin note: text overlap with arXiv:1610 ...
Massey, Pedro Gustavo +2 more
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Matrix inequalities for unitarily invariant norms [PDF]
ScienceAsia, 2018 Let Mn be the space of n × n complex matrices. Let λ j(A), j = 1,2, . . . , n, be the eigenvalues of A ∈ Mn repeated according to multiplicity, and |λ(A)| := (|λ1(A)|, |λ2(A)|, . . . , |λn(A)|) with |λ1(A)| 3⁄4 |λ2(A)| 3⁄4 · · · 3⁄4 |λn(A)|.
Jianguo Zhao
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