Orthogonality of matrices in the Ky Fan k-norms
classification
🧮 math.FA
keywords
birkhoff-jamesmatrixnormsorthogonalanothercharacterizationconditionsmathbb
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We obtain necessary and sufficient conditions for a matrix $A$ to be Birkhoff-James orthogonal to another matrix $B$ in the Ky Fan $k$-norms. A characterization for $A$ to be Birkhoff-James orthogonal to any subspace $\mathscr W$ of $\mathbb M(n)$ is also obtained.
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