ALUR dual renormings of Banach spaces

Abstract

We give a covering type characterization for the class of dual Banach spaces with an equivalent ALUR dual norm.  2004 Elsevier Inc. All rights reserved.

Normality and modulability indices. Part I: Convex cones in normed spaces

“…[5,32,40]) that in a locally uniformly rotund Banach space every unit vector is a denting point of the closed unit ball. 2…”

“…Now, let ρ : Ξ(X) → R be another function satisfying the properties (31)- (32). For any K ∈ Ξ(X), one has…”