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math.NT2022
p-adic Magic Contractions, p-adic von Neumann Inequality and p-adic Sz.-Nagy Dilation
K. Mahesh Krishna
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…
math.NT2022
Continuous Non-Archimedean and p-adic Welch Bounds
K. Mahesh Krishna
We prove the continuous non-Archimedean (resp. p-adic) Banach space and Hilbert space versions of non-Archimedean (resp. p-adic) Welch bounds proved by M. Krishna. We formulate con…
math.NT2022
Non-Archimedean and p-adic Functional Welch Bounds
K. Mahesh Krishna
We prove the non-Archimedean (resp. p-adic) Banach space version of non-Archimedean (resp. p-adic) Welch bounds recently obtained by M. Krishna. More precisely, we prove following…