Results 11 to 20 of about 19,389 (202)
Positivity of Partitioned Hermitian Matrices with Unitarily Invariant Norms [PDF]
Positivity, 2014 We give a short proof of a recent result of Drury on the positivity of a $3\times 3$ matrix of the form $(\|R_i^*R_j\|_{\rm tr})_{1 \le i, j \le 3}$ for any rectangular complex (or real) matrices $R_1, R_2, R_3$ so that the multiplication $R_i^*R_j$ is ...
Li, Chi-Kwong, Zhang, Fuzhen
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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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Unitarily invariant norm inequalities for operators [PDF]
Journal of the Egyptian Mathematical Society, 2011 10 pages, Accepted ...
M. Omidvar, M. S. Moslehian, A. Niknam
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Some inequalities for unitarily invariant norm
Linear Algebra and its Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jagjit Singh Matharu, J. Aujla
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Journal of Inequalities and Applications, 2020 In this article, we show unitarily invariant norm inequalities for sector 2 × 2 $2\times 2$ block matrices which extend and refine some recent results of Bourahli, Hirzallah, and Kittaneh (Positivity, 2020, https://doi.org/10.1007/s11117-020-00770-w ).
Xiaoying Zhou
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Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices
Journal of Inequalities and Applications, 2020 In this article, two inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices are proved, and we also present a unitarily invariant norm inequality for the Hua matrix which is sharper than an existing result.
Junjian Yang, Linzhang Lu, Zhen Chen
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Non-commutative Clarkson inequalities for unitarily invariant norms [PDF]
Pacific Journal of Mathematics, 2002 The authors obtain two types of norm inequalities which are extensions of the classical Clarkson inequalities for the Schatten \(p\)-norms in [\textit{C. A. McCarthy}, Isr. J. Math. 5, 249--271 (1967; Zbl 0156.37902)]. The authors show these inequalities by using operator convex and concave functions.
Hirzallah, Omar, Kittaneh, Fuad
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A generalized Hölder-type inequalities for measurable operators
Journal of Inequalities and Applications, 2020 We prove a generalized Hölder-type inequality for measurable operators associated with a semi-finite von Neumann algebra which is a generalization of the result shown by Bekjan (Positivity 21:113–126, 2017).
Yazhou Han, Jingjing Shao
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Maps on classes of Hilbert space operators preserving measure of commutativity [PDF]
, 2014 In this paper first we give a partial answer to a question of L. Moln\'ar and W. Timmermann. Namely, we will describe those linear (not necessarily bijective) transformations on the set of self-adjoint matrices which preserve a unitarily invariant norm ...
Gehér, György Pál, Nagy, Gergő
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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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