The impossibility of extending the Naimark complement

2025/04/13 by Emily J. King, Dustin G. Mixon, King, Emily J. +1 · 2 citations
Decision Sciences · #05B35 #42C15 #FOS: Mathematics #Functional Analysis (math.FA) #Scheduling and Timetabling Solutions

paper · pdf · doi:10.48550/arxiv.2504.09534

openalex publication_date 2025/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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