Submitted:
10 September 2022
Posted:
12 September 2022
You are already at the latest version
Abstract
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 continuous non-Archimedean and p-adic functional Zauner conjectures.
Keywords:
Non-Archimedean valued field
; Non-Archimedean Banach space
; p-adic number field
; p-adic Banach space
; Welch bound
; Zauner conjecture
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.