@Article{AAM-33-3, author = {Zhou, Yan}, title = {Norm Retrieval by Projections on Infinite-Dimensional Hilbert Spaces}, journal = {Annals of Applied Mathematics}, year = {2017}, 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/2017-AAM-20613}, url = {https://global-sci.com/article/72757/norm-retrieval-by-projections-on-infinite-dimensional-hilbert-spaces} }