The impossibility of extending the Naimark complement

Fuente: arXiv
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Autori principali: King, Emily J., Mixon, Dustin G.
Natura: Preprint
Pubblicazione: 2025
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author King, Emily J.
Mixon, Dustin G.
author_facet King, Emily J.
Mixon, Dustin G.
contents We show that there is no extension of the Naimark complement to arbitrary frames that satisfies three fundamental properties of the Naimark complement of Parseval frames.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09534
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The impossibility of extending the Naimark complement
King, Emily J.
Mixon, Dustin G.
Functional Analysis
42C15, 05B35
We show that there is no extension of the Naimark complement to arbitrary frames that satisfies three fundamental properties of the Naimark complement of Parseval frames.
title The impossibility of extending the Naimark complement
topic Functional Analysis
42C15, 05B35
url https://arxiv.org/abs/2504.09534