The impossibility of extending the Naimark complement

Linear and Multilinear Algebra 2026 Open access

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Authors: Emily J. King, Dustin G. Mixon
DOI: 10.1080/03081087.2026.2628048
Cited by: 0
References: 10

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.

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Sparse and Compressive Sensing Techniques Advanced Banach Space Theory

Publication details

Journal / source
Linear and Multilinear Algebra
Volume
74
Issue
4
Pages
541–547
Publication date
11 February 2026
Language
EN