{"id":"hexagon/2611.00046","pdf":"https://hexagonmath.org/pdf/2611.00046v1","url":"https://hexagonmath.org/abs/2611.00046v1","tags":["math.FA","msc:46S10","msc:46C05","Hilbert Space","Riesz-Frechet representation","p-adic Hilbert space."],"score":0,"title":"Non-Archimedean Riesz-Frechet Representation","domain":"math.NT","source":"hexagon","authors":["K. MAHESH KRISHNA"],"reviews":0,"subject":"math.NT","summary":"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).","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-11-04","reactions":{},"withdrawn":false,"authorship":"human","formalized":false,"human_understanding":"all"}