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Multiplication of continuous vector-valued functions

✍ Scribed by Thomas Schunk


Publisher
SP Birkhäuser Verlag Basel
Year
1984
Tongue
English
Weight
195 KB
Volume
7
Category
Article
ISSN
0378-620X

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✍ 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