- Turkish Journal of Mathematics
- Vol: 37 Issue: 1
- On characterization and stability of alternate dual of g-frames
On characterization and stability of alternate dual of g-frames
Authors : Ali Akbar Arefijamaal, Soheila Ghasemi
Pages : 71-79
Doi:10.3906/mat-1107-14
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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.Keywords : Key words: Frame, dual frame, g-Riesz sequence, alternate dual, g-frame