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arXiv · 1605.05649

Orthogonality of matrices in the Ky Fan $k$-norms

Priyanka Grover
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Abstract

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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Priyanka Grover. 2016-05-18. Orthogonality of matrices in the Ky Fan $k$-norms. https://doi.org/10.1080/03081087.2016.1193118

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