Additive surjections on finite-dimensional C*-algebras that preserve mutual strong Birkhoff-James orthogonality in one direction are classified.
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The subdifferential set of the Ky Fan p-k norm is computed, yielding a characterization of best approximations and necessary and sufficient conditions for ε-Birkhoff orthogonality.
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Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras
Additive surjections on finite-dimensional C*-algebras that preserve mutual strong Birkhoff-James orthogonality in one direction are classified.
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Properties of best approximations with respect to the Ky Fan $p$-$k$ norm, and the strict spectral approximant of a matrix
The subdifferential set of the Ky Fan p-k norm is computed, yielding a characterization of best approximations and necessary and sufficient conditions for ε-Birkhoff orthogonality.