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Banach spaces not antiproximinal in their second dual

✍ Scribed by Mu-San Wang; Jian-Hua Wang


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
109 KB
Volume
64
Category
Article
ISSN
0021-9045

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Antiproximinal Norms in Banach Spaces
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Antiproximinal Sets in Banach Spaces of
✍ Ştefan Cobzaş πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 123 KB

A closed nonvoid subset Z of a Banach space X is called antiproximinal if no point outside Z has a nearest point in Z. The aim of the present paper is to prove that, for a compact Hausdorff space T and a real Banach space E, the Banach space C T E , of all continuous functions defined on T and with