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Isometric Imbedding of Some Metric Spaces in lp-Spaces

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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 \(l_p^{n - 1} ,p \geqslant 1\).

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Vestfrid, I.A. Isometric Imbedding of Some Metric Spaces in lp-Spaces. Ukrainian Mathematical Journal 53, 2098–2104 (2001). https://doi.org/10.1023/A:1015499108709

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  • DOI: https://doi.org/10.1023/A:1015499108709

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