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arxiv: 2606.01740 · v1 · pith:B527KGXSnew · submitted 2026-06-01 · 🧮 math.FA · math.NT

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

classification 🧮 math.FA math.NT
keywords inequalitymathtextitmaligrandamassera-schaffer-maligranda-pecaric-rajicnon-archimedeannonzerovectors
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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.

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