Title

Every Hilbert Space Frame has a Naimark Complement

Document Type

Article

Publication Date

10-1-2013

Abstract

Naimark complements for Hilbert space Parseval frames are one of the most fundamental and useful results in the field of frame theory. We will show that actually all Hilbert space frames have Naimark complements which possess all the usual properties for Naimark complements with one notable exception. So these complements can be used for equiangular frames, RIP property, fusion frames etc. Along the way, we will correct a mistake in a recent fusion frame paper where chordal distances for Naimark complements are computed incorrectly.

Comments

The 'Link to Full Text' button on this record points to the freely-accessible article, hosted at the publisher website. The article is marked open access to read ("Green OA"). Elsevier retains permissions to re-use and distribute this article.

arXiv e-print version is available at: 1104.0810v3 [math.FA]. https://arxiv.org/abs/1104.0810


DOI

10.1016/j.jmaa.2013.04.047

Source Publication

Journal of Mathematical Analysis and Applications

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