On simultaneous linear extensions of partial (pseudo)metrics

Tymchatyn, E.; Zarichnyi, M.

doi:10.1090/S0002-9939-04-07413-1

On simultaneous linear extensions of partial (pseudo)metrics
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by E. D. Tymchatyn and M. Zarichnyi PDF

Proc. Amer. Math. Soc. 132 (2004), 2799-2807 Request permission

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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