Generalizes the right-hand derivative and subdifferential of the B(H) norm to B(H,K), provides a best-approximation characterization for operator tuples, and defines epsilon-Birkhoff orthogonality via subdifferentials.
Grover,Orthogonality to matrix subspaces, and a distance formula, Linear Algebra Appl.445(2014): 280–288
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Subdifferential of the $\mathcal{B(H,K)}$ norm, and approximate orthogonality
Generalizes the right-hand derivative and subdifferential of the B(H) norm to B(H,K), provides a best-approximation characterization for operator tuples, and defines epsilon-Birkhoff orthogonality via subdifferentials.