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Non-Archimedean Riesz-Frechet Representation

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Contributed by K. MAHESH KRISHNA ↗

Version 1 / Nov 04, 2026 / CC BY 4.0

Abstract

We derive a Riesz-Frechet representation for bounded linear functionals defined on the p-adic Hilbert spaces introduced by Kalisch [\textit{Ann. of Math. (2), 1947}]. We also notice the surprising difference between the Archimedean case and the non-Archimedean case (exact non-Archimedean version of Riesz-Frechet representation fails).

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Version history

  1. v1Submitted by K. MAHESH KRISHNAInitial depositCurrentNov 03, 2026