Preprint
Article
p-adic Magic Contractions, p-adic von Neumann Inequality and p-adic Sz.-Nagy Dilation
This version is not peer-reviewed.
Submitted:
24 September 2022
Posted:
28 September 2022
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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
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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