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On simultaneous linear extensions of partial (pseudo)metrics |
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| Authors: | E. D. Tymchatyn M. Zarichnyi |
| Affiliation: | Department of Mathematics and Statistics, University of Saskatchewan, Room 142 McLean Hall, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6 ; Department of Mechanics and Mathematics, Lviv National University, Universytetska 1, 79000 Lviv, Ukraine |
| 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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