Geodesic
Remarks on some properties in the geometric theory of Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 1, pp. 17-22

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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.
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.
Classification : 46B20, 47H09
Keywords: measure of noncompactness; near convexity; the property of strong $(\alpha ')$ 
El-Sayed, Wagdy Gomaa; Fraczek, Krzysztof. Remarks on some properties in the geometric theory of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 1, pp. 17-22. http://geodesic.mathdoc.fr/item/CMUC_1996_37_1_a1/
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     title = {Remarks on some properties in the geometric theory of {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {17--22},
     year = {1996},
     volume = {37},
     number = {1},
     mrnumber = {1396159},
     zbl = {0852.47025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1996_37_1_a1/}
}
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