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| NORM RETRIEVAL BY PROJECTIONS ON INFINITE-DIMENSIONAL HILBERT SPACES |
| Yan Zhou |
| (College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China) |
| DOI： |
| Abstract: |
| We study the norm retrieval by projections on an infinite-dimensional Hilbert space H. Let {ei}i∈I be an orthonormal basis in H and Wi={ei}⊥ for all $i\in I$. We show that {Wi}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. |
| Key words: norm retrieval; phase retrieval; frames; Hilbert spaces |