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 $W_1,W_2$ and $W_1 \cap...

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Bibliographic Details
Main Authors Casazza, Peter G, Ghoreishi, Dorsa, Jose, Shani, Tremain, Janet C
Format Journal Article
LanguageEnglish
Published 27.01.2017
Subjects
Mathematics - Functional Analysis
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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 $W_1 \cap W_2=\{0\}$, then $W_1 \perp W_2$.
DOI:10.48550/arxiv.1701.08014