English

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

Number Theory 2022-09-27 v1 Algebraic Geometry Operator Algebras Rings and Algebras

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

Cite

@article{arxiv.2209.12012,
  title  = {p-adic Magic Contractions, p-adic von Neumann Inequality and p-adic Sz.-Nagy Dilation},
  author = {K. Mahesh Krishna},
  journal= {arXiv preprint arXiv:2209.12012},
  year   = {2022}
}

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10 Pages, 0 Figures