On simultaneous linear extensions of partial (pseudo)metrics
General Topology
2007-05-23 v2 Functional Analysis
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 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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Cite
@article{arxiv.math/0211215,
title = {On simultaneous linear extensions of partial (pseudo)metrics},
author = {E. D. Tymchatyn and M. Zarichnyi},
journal= {arXiv preprint arXiv:math/0211215},
year = {2007}
}
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10 pages