2019
Том 71
№ 8

All Issues

Isometric Imbedding of Some Metric Spaces in lp-Spaces

Vestfrid I. A

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Abstract

We present a generalization of a result of Fichet, who proved in 1988 that every ulltrametric space consisting of n points is imbedded isometrically in \(l_p^{n - 1} ,p \geqslant 1\) .

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 12, pp 2098-2104.

Citation Example: Vestfrid I. A Isometric Imbedding of Some Metric Spaces in lp-Spaces // Ukr. Mat. Zh. - 2001. - 53, № 12. - pp. 1718-1723.

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