On simultaneous linear extensions of partial (pseudo)metrics

E. D. Tymchatyn; M. Zarichnyi

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On simultaneous linear extensions of partial (pseudo)metrics

E. D. Tymchatyn·M. Zarichnyi

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Abstract

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 Künzi 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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BibTeX RIS

E. D. Tymchatyn, M. Zarichnyi. 2002-11-15. On simultaneous linear extensions of partial (pseudo)metrics. https://arxiv.org/abs/math/0211215

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