Phase retrieval problem in space of lp(Γ) (0<p<1)

Abstract

In this paper, we use the injective of operator A_Φ to represent the uniqueness of the phase retrieval. We show that the relationship between the complement property (CP) and phase retrieval of frames in non-Banach space l^p(Γ) (0<p<1). Moreover, we also consider the stability of phase retrieval and quantify the stability by the ratio of the upper and lower bounds of the frame Φ in l^p(Γ) (0<p<1).