Adjoints of operators as smooth points in spaces of compact operators
Linear and Multilinear Algebra
For Banach spaces X, Y, for a smooth point in the space of compact linear operators K(X, Y), we partially answer the question, when are all the adjoints of higher order, again smooth points?.
Rao, T. S.S.R.K., "Adjoints of operators as smooth points in spaces of compact operators" (2018). Journal Articles. 1417.