On the Phase Retrievable Sequences

In this paper, we study phase retrievable sequences and give a characterization of phase retrievability of a sequence of bounded linear operators on a Hilbert space $H$; in particular, for $H={\mathrm{\ell }}_2^d(\mathbb{C})$. We also give several approaches for constructing phase retrievable sequences. Then, we investigate the property of phase retrieval for $g$-frames and frames.