A note on the stability of g-frames in Hilbert C*-modules

摘要

Recently, Rashidi-Kouchi et al. devoted their efforts to giving analogs of the Casazza-Christensen general perturbation theorem of Hilbert space frames for the case of g-frames in Hilbert C*-modules. We found, however, that in the proof they did not obtain the lower bound inequality of g-frames in Hilbert C*-modules. In this paper, we establish an equivalent definition of g-frames in Hilbert C*-modules, using it we present a complete proof for the stability result given by them.