Wagdy Gomaa El-Sayed, Krzysztof Fr\c aczek
Remarks on some properties in the geometric theory of Banach spaces

Comment.Math.Univ.Carolinae 37,1 (1996) 17-22.

Abstract:The aim of this paper is to derive some relationships between the concepts of the property of strong $(\alpha ')$ introduced recently by Hong-Kun Xu and the so-called characteristic of near convexity defined by Goebel and S\c ekowski. Particularly we provide very simple proof of a result obtained by Hong-Kun Xu.

Keywords: measure of noncompactness, near convexity, the property of strong $(\alpha ')$
AMS Subject Classification: 47H09