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Inequalities Involving Unitarily Invariant Norms and Operator Monotone Functions (Current topics on operator theory and operator inequalities)

, 2002
Xingzhi Zhan, Fumio Hiai
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Upper bounds for singular subspaces under unitarily invariant norms with applications to high-dimensional covariance matrix estimation

Chunguang Ren, P Zhang, Shiguo Huang
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Correlations in the EPR State Observables. [PDF]

Entropy (Basel)
Orsini DF, Oliveira LRN, da Luz MGE.
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Left Unitarily Invariant Norms on Matrices

, 2006
DOMON, MASUMI, SANO, TAKASHI, TOBA, TOMOHIDE   +2 more
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Inequalities for unitarily invariant norms and singular values

, 2013
Limin Zou
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Inequalities for Unitarily Invariant Norms

SIAM Journal on Matrix Analysis and Applications, 1998
Let \(A,B,X\) be complex matrices with \(A,B\) positive semidefinite. The author proves the following generalization of the arithmetic-mean inequality due to \textit{R. Bhatia} and \textit{C. Davis} [ibid. 14, No. 1, 132-136 (1993; Zbl 0767.15012]: \[ (2+t)\| A^rXB^{2-r}+A^{2-r}XB^r\| \leq 2\| A^2X+tAXB+XB^2\| \] for arbitrary unitarily invariant norm \
Xingzhi Zhan
exaly   +2 more sources

Interpolating inequalities for unitarily invariant norms of matrices

Advances in Operator Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad Al-Natoor, Fuad Kittaneh, Al-Natoor Ahmad   +2 more
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A note on unitarily invariant matrix norms

Linear Algebra and its Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Wenxuan, Li, Chi-Kwong, Li, Yuqiao
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Unitarily invariant norm submultiplicativity

Linear and Multilinear Algebra, 1992
In this paper, we view rules for multiplying matrices (such as the Hadamard product, usual product and Kronecker product) as combinatorial objects. Our purpose is to determine conditions on these objects that imply submultiplicativity with respect to the spectral norm and certain of the unitarily invariant norms.
Charles R. Johnson, Peter Nylen
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Unitarily Invariant Norm Inequalities

, 2019
Barry Simon
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