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On simultaneous linear extensions of partial (pseudo)metrics
Author(s):
E.
D.
Tymchatyn;
M.
Zarichnyi
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2799-2807.
MSC (2000):
Primary 54E35, 54C20, 54E40
Posted:
April 21, 2004
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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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Additional Information:
E.
D.
Tymchatyn
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, Room 142 McLean Hall, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6
Email:
tymchat@math.usask.ca
M.
Zarichnyi
Affiliation:
Department of Mechanics and Mathematics, Lviv National University, Universytetska 1, 79000 Lviv, Ukraine
Email:
topos@franko.lviv.ua, mzar@litech.lviv.ua
DOI:
10.1090/S0002-9939-04-07413-1
PII:
S 0002-9939(04)07413-1
Received by editor(s):
November 18, 2002
Received by editor(s) in revised form:
May 29, 2003
Posted:
April 21, 2004
Additional Notes:
The paper was finished during the second named author's visit to the University of Saskatchewan. This research was supported in part by NSERC research grant OGP 005616
Communicated by:
Alan Dow
Copyright of article:
Copyright
2004,
American Mathematical Society
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