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OPTIMAL LOWER BOUND ON THE SUPREMAL STRICT <i>p</i>-NEGATIVE TYPE OF A FINITE METRIC SPACE

OPTIMAL LOWER BOUND ON THE SUPREMAL STRICT <i>p</i>-NEGATIVE TYPE OF A FINITE METRIC SPACE

Abstract Determining meaningful lower bounds on the supremal strict p -negative type of classes of finite metric spaces is a difficult nonlinear problem. In this paper we use an elementary approach to obtain the following result: given a finite metric space ( X , d ) there is a constant …