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| G-frames are
natural generalizations of frames
which cover many other recent generalizations of frames,
e.g.,
bounded quasi-projectors, frames of subspaces,
outer frames,
oblique frames,
pseudo-frames
and a class of time-frequency localization operators.
Moreover, it is known that g-frames are equivalent to stable space
splittings. In this paper, we study the stability of g-frames. We
first present some properties for g-Bessel sequences. Then we prove
that g-frames are stable under small perturbations. We also study
the stability of dual g-frames. |
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| Keywords:G-frames,generalized frames, stability |
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