Extending metrics in compact pairs |
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| Author |
Department of Mechanics and Mathematics, Lviv University, Universytetska
1, Lviv, 290602, Ukraine.
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| Abstract |
A regular (= linear positive with unit norm) extension operator
$T:C(X\times X)\to C(Y\times Y)$ preserving (pseudo)metrics is
constructed for every pair $(Y,X)$ of metric compacta such that
$X\subset Y$ contains more than one point.
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| Keywords |
extension operator, metric compacta, preserving metrics
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| DOI |
doi:10.30970/ms.3.1.103-106
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Reference |
1. C. Bessaga, On linear operators and functors extending pseudometrics, Fund. Math., 142 (1993), 101-122.
2. T. Banakh, Every Compact pair admits a linear operator of extending metrics, preprint, 1993. 3. C. Bessaga, A.Pelczynski, Selected topics in infinite-dimensional topology, Warszawa: PWN, 1975. .5in Department of Mechanics and Mathematics, Lviv University, Universytetska 1, Lviv, 290602, Ukraine. |
| Pages |
103-106
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| Volume |
3
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| Issue |
1
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| Year |
1994
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| Journal |
Matematychni Studii
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| Full text of paper | |
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