Metric spaces and positive definite functions

1938/01/01 by I. J. Schoenberg · 714 citations
Mathematics · #Advanced Banach Space Theory #Fixed Point Theorems Analysis #Functional Equations Stability Results #Mathematics #Metric (unit) #Metric space #Positive-definite matrix #Pure mathematics

paper · doi:10.1090/s0002-9947-1938-1501980-0

published in Transactions of the American Mathematical Society 44(3), 522-536 (American Mathematical Society)

openalex publication_date 1938/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

generally EmP the pseudo-euclidean space of m real variables with the distance function p> o. As p ~ 00 we get the space E = with the distance function maXi=l,...,m IXi- xl I.

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