This is an announcement for the paper "Optimal lower bounds on the maximal p-negative type of finite metric spaces" by Anthony Weston.

Abstract: This 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.

Archive classification: math.FA math.MG

Mathematics Subject Classification: 46B20

Remarks: 10 pages

The source file(s), Gap.tex: 36066 bytes, is(are) stored in gzipped form as 0807.2705.gz with size 11kb. The corresponding postcript file has gzipped size 95kb.

Submitted from: westona@canisius.edu

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http://front.math.ucdavis.edu/0807.2705

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http://arXiv.org/abs/0807.2705

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