Geometry of spaces of compact operators
Acta Scientiarum Mathematicarum
For non-reflexive Banach spaces X, Y, for a very smooth point in the space of compact linear operators K(X, Y), we give several sufficient conditions for the adjoint to be a very smooth point in K(Y ∗, X∗). We exhibit a new class of extreme points in the dual unit ball of injective product spaces. These ideas are also related to Birkhoff–James orthogonality in spaces of operators.
Rao, T. S.S.R.K., "Geometry of spaces of compact operators" (2019). Journal Articles. 998.