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The Set of Hausdorff Continuous Functions— The Largest Linear Space of Interval Functions

✍ Scribed by Roumen Anguelov; Svetoslav Markov; Blagovest Sendov


Publisher
Springer
Year
2006
Tongue
English
Weight
444 KB
Volume
12
Category
Article
ISSN
1385-3139

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Zerofree extension of continuous functio
✍ Rudolf Rupp 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 92 KB

Let C R (X) denote, as usual, the Banach algebra of all real valued continuous functions on a compact Hausdorff space X endowed with the supremum norm. We present an elementary proof of the following extension result for C R (X): For a given g ∈ C R (X) with zero set Zg and for the n-tuple (f1, . .