Article ID Journal Published Year Pages File Type
5774879 Journal of Mathematical Analysis and Applications 2017 5 Pages PDF
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 weak⁎-compact set.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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