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Remarks on some properties in the geometric theory of Banach spaces

Wagdy Gomaa El-Sayed, Krzysztof Fraczek (1996)

Commentationes Mathematicae Universitatis Carolinae

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

Remarks on the Istratescu measure of noncompactness.

Janusz Dronka (1993)

Collectanea Mathematica

In this paper we give estimations of Istratescu measure of noncompactness I(X) of a set X C lp(E1,...,En) in terms of measures I(Xj) (j=1,...,n) of projections Xj of X on Ej. Also a converse problem of finding a set X for which the measure I(X) satisfies the estimations under consideration is considered.

Currently displaying 201 – 220 of 346