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Approximation by certain subspaces in the banach space of continuous vector-valued functions

✍ Scribed by Dan Amir; Frakk Deutsch


Book ID
107776726
Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
914 KB
Volume
27
Category
Article
ISSN
0021-9045

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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