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Non-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality

Primarily human-written textHuman understanding: all partsmath.NT — Number Theorymath.FA — Functional Analysis

Contributed by K. MAHESH KRISHNA ↗

Version 1 / Oct 14, 2026 / CC BY 4.0

Abstract

Massera and Schaffer [\textit{Ann. Math. (2), 1958}] derived a breakthrough upper bound for the Clarkson angle between two nonzero vectors in a normed linear space, which was later improved by Maligranda [\textit{Am. Math. Mon., 2006}]. Pecaric and Rajic [\textit{Math. Inequal. Appl., 2007}] extended Maligranda's inequality to finitely many nonzero vectors. We derive a non-Archimedean version of Massera-Schaffer-Maligranda-Pecaric-Rajic inequality.

References

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Version history

  1. v1Submitted by K. MAHESH KRISHNAInitial depositCurrentOct 14, 2026