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arXiv · 2603.01446

Non-Archimedean Tarski-Maligranda Inequalities

K. Mahesh Krishna
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Abstract

In 1930, Tarski observed that \begin{align*} \bigg||r|-|s|\bigg|=|r-s|+ |r+s|-(|r|+|s|), \quad \forall r, s \in \mathbb{R}. \end{align*} In 2008, Maligranda converted the previous equality into inequalities that are valid in every normed linear space. We derive non-Archimedean versions of Tarski-Maligranda inequalities. Difference between Archimedean and non-Archimedean inequalities is surprising.

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K. Mahesh Krishna. 2026-03-02. Non-Archimedean Tarski-Maligranda Inequalities. https://arxiv.org/abs/2603.01446

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