Results 1 to 10 of about 13,362 (127)
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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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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Interpolation unitarily invariant norms inequalities for matrices with applications
AIMS MathematicsLet $ A_j, B_j, P_j $, and $ Q_j \in M_{n}(\mathbb{C}) $, where $ j = 1, 2, \dots, m $. For a real number $ c \in [0, 1] $, we prove the following interpolation inequality: $ \begin{equation*} {\left\vert\kern-0.1ex\left\vert\kern-0.1ex\left\vert {\
Mohammad Al-Khlyleh +2 more
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Norms on complex matrices induced by random vectors II: extension of weakly unitarily invariant norms [PDF]
Canadian mathematical bulletin, 2023 We improve and expand in two directions the theory of norms on complex matrices induced by random vectors. We first provide a simple proof of the classification of weakly unitarily invariant norms on the Hermitian matrices. We use this to extend the main
Ángel Chávez +2 more
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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
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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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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
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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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On Maps Preserving Unitarily Invariant Norms of the Spectral Geometric Mean
, 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 ...
Hongji Chen +3 more
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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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