Article ID Journal Published Year Pages File Type
4622780 Journal of Mathematical Analysis and Applications 2006 7 Pages PDF
Abstract

In this paper, we prove that a Banach space X and its dual space X∗ have uniform normal structure if . The García-Falset coefficient R(X) is estimated by the CNJ(X)-constant and the weak orthogonality coefficient introduced by B. Sims. Finally, we present an affirmative answer to a conjecture by L. Maligranda concerning the relation between the James and CNJ(X)-constants for a Banach space.

Related Topics
Physical Sciences and Engineering Mathematics Analysis