The impossibility of extending the Naimark complement
Functional Analysis
2025-12-25 v2
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.
Cite
@article{arxiv.2504.09534,
title = {The impossibility of extending the Naimark complement},
author = {Emily J. King and Dustin G. Mixon},
journal= {arXiv preprint arXiv:2504.09534},
year = {2025}
}