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Antiproximinal sets in spaces of continuous functions

✍ Scribed by V. S. Balaganskii


Publisher
SP MAIK Nauka/Interperiodica
Year
1996
Tongue
English
Weight
734 KB
Volume
60
Category
Article
ISSN
0001-4346

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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