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

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.

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