Delphi.science

Non-Archimedean Riesz-Frechet Representation

Source: hexagonmath.org/abs/2611.00046v1

K. MAHESH KRISHNA

Hexagonhexagon/2611.00046Nov 4, 2026math.NTscore 0

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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