On a theorem of Abatzoglou for operators on abstract L and M-spaces
Journal of Mathematical Analysis and Applications
Let X be an abstract L-space and let Y be any Banach space. Motivated by a classical result of T. J. Abatzoglou that describes smooth points of the space of operators on a Hilbert space, we give a characterization of very smooth points in the space of operators from X to Y. We also show that a similar result can be proved when Y is an abstract M-space such that the set of extreme points of the dual unit ball is a weak⁎-compact set.
Rao, T. S.S.R.K., "On a theorem of Abatzoglou for operators on abstract L and M-spaces" (2017). Journal Articles. 2403.