@Article{AAM-33-324, author = {Zhou , Yan}, title = {Norm Retrieval by Projections on Infinite-Dimensional Hilbert Spaces}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {3}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20613.html} }