Optimal lower bounds on the maximal p-negative type of finite metric spaces

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dc.creatorWeston, Anthony
dc.date2008-07-17
dc.date.accessioned2026-07-07T09:50:56Z
dc.date.available2026-07-07T09:50:56Z
dc.descriptionThis article derives lower bounds on the supremal (strict) p-negative type of finite metric spaces using purely elementary techniques. The bounds depend only on the cardinality and the (scaled) diameter of the underlying finite metric space. Examples show that these lower bounds can easily be best possible under clearly delineated circumstances. We further point out that the entire theory holds (more generally) for finite semi-metric spaces without modification and wherein the lower bounds are always optimal.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0807.2705
dc.identifierhttp://arxiv.org/abs/0807.2705
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165119
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.subject46B20
dc.titleOptimal lower bounds on the maximal p-negative type of finite metric spaces
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