Year: 2017
Author: Yan Zhou
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 324–330
Abstract
We study the norm retrieval by projections on an infinite-dimensional Hilbert space $H.$ Let $\{e_i\}_{i∈I}$ be an orthonormal basis in $H$ and $W_i = \{e_i\}^⊥$ for all $i ∈ I.$ We show that $\{W_i\}_{i∈I}$ does norm retrieval if and only if $I$ is an infinite subset of $N.$ We also give some properties of norm retrieval by projections.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20613
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 324–330
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: norm retrieval phase retrieval frames Hilbert spaces.