# Publications and Preprints

Orthogonality to matrix subspaces, and a distance formula
by
Priyanka Grover
We obtain a necessary and sufficient condition for a matrix $A$ to be Birkhoff-James orthogonal to any subspace $\mathscr W$ of $\mat$. Using this we obtain an expression for the distance of $A$ from any unital $C^*$-subalgebra of $\mat$.

isid/ms/2013/15 [fulltext]