Norm Retrieval and Phase Retrieval by Projections

Peter Casazza, Dorsa Ghoreishi, Shani Jose, Janet Tremain
2017 Axioms  
We make a detailed study of norm retrieval. We give several classification theorems for norm retrieval and give a large number of examples to go with the theory. One consequence is a new result about Parseval frames: If a Parseval frame is divided into two subsets with spans W 1 , W 2 and W 1 ∩ W 2 = {0}, then W 1 ⊥ W 2 .
doi:10.3390/axioms6010006 fatcat:xzn4jymqnbdgxpxmvoaniqzc7y