Norm Retrieval and Phase Retrieval by Projections

Norm Retrieval and Phase Retrieval by Projections

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 an...

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Bibliographic Details
Main Authors: Peter G. Casazza, Dorsa Ghoreishi, Shani Jose, Janet C. Tremain
Format: Article
Language:English
Published: MDPI AG 2017-03-01
Series:Axioms
Subjects:
frame
norm retrieval
phase retrieval
Online Access:http://www.mdpi.com/2075-1680/6/1/6
Description
Summary: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 .
ISSN:2075-1680

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