Results 11 to 20 of about 581 (209)
Positivity of Partitioned Hermitian Matrices with Unitarily Invariant Norms [PDF]
Positivity, 2014 6 ...
Chi-Kwong Li, Fuzhen Zhang
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Submultiplicativity vs subadditivity for unitarily invariant norms
Linear Algebra and its Applications, 2004 The authors prove that if \(A\) and \(B\) are two \(n\)-by-\(n\) nonzero positive semidefinite matrices and \(\|\cdot\|\) is a unitarily invariant norm on matrices satisfying \(\|\text{diag}(1,0,\dots, 0)\|\geq 1\), then the inequalities \[ {\| AB\|\over\| A\|\,\| B\|}\leq {\| A+ B\|\over\| A\|+\| B\|}\quad\text{and}\quad {\| A\circ B\|\over \| A\|\,\|
Hiai, Fumio, Zhan, Xingzhi
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A Structure Theorem for the Polars of Unitarily Invariant Norms [PDF]
Proceedings of the American Mathematical Society, 1985 The unitarily invariant norms of matrices, or operators, are essentially the symmetric norms of their singular values. A subclass of these norms depending upon only a few largest of the singular values is considered, and the polars of these norms are characterized. The result is then used to obtain generalizations of some well-known inequalities.
Govind S. Mudholkar, Marshall Freimer
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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.
Matharu, Jagjit Singh +1 more
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Lower bounds for the low-rank matrix approximation [PDF]
Journal of Inequalities and Applications, 2017 Low-rank matrix recovery is an active topic drawing the attention of many researchers. It addresses the problem of approximating the observed data matrix by an unknown low-rank matrix. Suppose that A is a low-rank matrix approximation of D, where D and A
Jicheng Li, Zisheng Liu, Guo Li
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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.
Omar Hirzallah, Fuad Kıttaneh
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A matrix inequality for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2022 Xin Jin, Feng Zhang, Ji li Xu
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Extensions of interpolation between the arithmetic-geometric mean inequality for matrices [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if A, B, X are n × n $n\times n$ matrices, then ∥ A X B ∗ ∥ 2 ≤ ∥ f 1 ( A ∗ A ) X g 1 ( B ∗ B ) ∥ ∥ f
Mojtaba Bakherad +2 more
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Norm inequalities related to the Heinz means
Journal of Inequalities and Applications, 2018 Let (I,|||⋅|||) $(I,|\!|\!|\cdot|\!|\!|)$ be a two-sided ideal of operators equipped with a unitarily invariant norm |||⋅||| $|\!|\!| \cdot|\!|\!|$. We generalize the results of Kapil’s, using a new contractive map in I to obtain a norm inequality.
Fugen Gao, Xuedi Ma
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Unitarily invariant norm inequalities involving $G_1$ operators [PDF]
, 2018 To appear in Commun.
Mojtaba Bakherad
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