Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774879 | Journal of Mathematical Analysis and Applications | 2017 | 5 Pages |
Abstract
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 weakâ-compact set.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
T.S.S.R.K. Rao,