Geometrical implications of upper semi-continuity of the duality mapping on a Banach space
J Giles, David Alexander Gregory, Brailey Sims · Pacific Journal of Mathematics · 1978
For the duality mapping on a Banach space the relation between lower semi-continuity and upper semi-continuity properties is explored, upper semi-continuity is characterized in terms of slices of the ball and upper semi-continuity properties are related to geometrical properties which imply that the space is an Asplund space.