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Some questions of variational calculus for functionals of vector functions with values in a Banach space

✍ Scribed by N. M. Kukharchuk


Book ID
112477672
Publisher
Springer
Year
1968
Tongue
English
Weight
143 KB
Volume
19
Category
Article
ISSN
0041-5995

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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