TY - JOUR
T1 - Norm Retrieval by Projections on Infinite-Dimensional Hilbert Spaces
AU - Zhou , Yan
JO - Annals of Applied Mathematics
VL - 3
SP - 324
EP - 330
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20613.html
KW - norm retrieval, phase retrieval, frames, Hilbert spaces.
AB - 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.