Abstract
Let (X,d) be a distance space and let F: ℝ+ → ℝ+ be a function such that F(0) = 0. We define the distance space (X,F(d)) by setting
Following Blumenthal [1953], (X,F(d)) is called a metric transform of (X,d). A general question is to find nontrivial functions F which preserve certain properties, such as metricity, L 1- or L 2-embeddability, of the original distance space.
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© 1997 Springer-Verlag Berlin Heidelberg
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Deza, M.M., Laurent, M. (1997). Metric Transforms of L 1-Spaces. In: Geometry of Cuts and Metrics. Algorithms and Combinatorics, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04295-9_9
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DOI: https://doi.org/10.1007/978-3-642-04295-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04294-2
Online ISBN: 978-3-642-04295-9
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