Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

p-adic Magic Contractions, p-adic von Neumann Inequality and p-adic Sz.-Nagy Dilation

Version 1 : Received: 24 September 2022 / Approved: 28 September 2022 / Online: 28 September 2022 (07:13:18 CEST)

How to cite: Krishna, K.M. p-adic Magic Contractions, p-adic von Neumann Inequality and p-adic Sz.-Nagy Dilation. Preprints 2022, 2022090433. https://doi.org/10.20944/preprints202209.0433.v1 Krishna, K.M. p-adic Magic Contractions, p-adic von Neumann Inequality and p-adic Sz.-Nagy Dilation. Preprints 2022, 2022090433. https://doi.org/10.20944/preprints202209.0433.v1

Abstract

We introduce the notion of p-adic magic contraction on p-adic Hilbert space. We derive p-adic Halmos dilation, p-adic Egervary N-dilation, p-adic von Neumann inequality and p-adic Sz.-Nagy dilation for p-adic magic contraction.

Keywords

Dilation, von Neumann inequality, Non-Archimedean valued field, p-adic Hilbert space, Contraction, Unitary operator

Subject

Computer Science and Mathematics, Analysis

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