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arxiv: math/0211215 · v2 · submitted 2002-11-13 · 🧮 math.GN · math.FA

On simultaneous linear extensions of partial (pseudo)metrics

classification 🧮 math.GN math.FA
keywords metricspseudocaseextensionlinearoperatorspartialresult
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We consider the question of simultaneous extension of (pseudo)metrics defined on nonempty closed subsets of a compact metrizable space. The main result is a counterpart of the result due to K\"unzi and Shapiro for the case of extension operators of partial continuous functions and includes, as a special case, Banakh's theorem on linear regular operators extending (pseudo)metrics.

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