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Wijsman topology on function spaces

✍ Scribed by Giuseppe Di Maio; Ľubica Holà


Publisher
Springer Milan
Year
1997
Tongue
Italian
Weight
760 KB
Volume
46
Category
Article
ISSN
0009-725X

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## Abstract Let __X__(μ) be a Banach function space. In this paper we introduce two new geometric notions, __q__‐convexity and weak __q__‐convexity associated to a subset __S__ of the unit ball of the dual of __X__(μ), 1 ≤ __q__ < ∞. We prove that in the general case both notions are not equivalent