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Uniformly summing sets of operators on spaces of vector–valued continuous functions

✍ Scribed by J. M. Delgado; C. Piñeiro


Publisher
Springer
Year
2006
Tongue
English
Weight
134 KB
Volume
87
Category
Article
ISSN
0003-889X

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Antiproximinal Sets in Banach Spaces of
✍ Ştefan Cobzaş 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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