One of the essential applications of frames is that they lead to expansions of vectors in the underlying Hilbert space in terms of the frame elements. In this decomposition, dual frames have a key role. G-frames, introduced by Sun, cover many other recent generalizations of frames. In this paper, we give some characterizations of dual g-frames. Moreover, we prove that if two g-frames are close to each other, then we can find duals of them which are close to each other.
Frame, dual frame, g-Riesz sequence, alternate dual, g-frame
AREFIJAMAAL, ALI AKBAR and GHASEMI, SOHEILA
"On characterization and stability of alternate dual of g-frames,"
Turkish Journal of Mathematics: Vol. 37:
1, Article 8.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss1/8