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Inequalities involving Hadamard products and unitarily invariant norms.

1998
Summary: Let \(M_{n,m}\) be the space of \(n\times m\) complex matrices and \(M_n\equiv M_{n,n}\). For Hermitian matrices \(G,H\in M_n\), \(G\geq H\) means that \(G-H\) is positive semidefinite. Denote by \(A\circ B\) the Hadamard product of matrices \(A\) and \(B\).
openaire   +2 more sources

A Unitarily Invariant Norm Inequality for Positive Semidefinite Matrices and a Question of Bourin

Results in Mathematics, 2023
Mostafa Hayajneh   +2 more
exaly  

Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm

Numerical Linear Algebra With Applications, 2008
Hu Yang, Hanyu Li
exaly  

Unitarily Invariant Norms and Inequalities

Airat M. Bikchentaev   +3 more
openaire   +1 more source

Maps preserving unitarily invariant norms of Jordan product of matrices

Journal of Mathematical Analysis and Applications, 2017
Tatjana Petek
exaly  

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