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.Comment: Changes after Refereein