Abstract
Bessel sequences in Hilbert spaces have been studied intensively for the past years. In this paper we show that in any Hilbert space, any pairs of g-Bessel sequences can be extended to a pair of dual g-frames. We also analyze the dual, pseudodual and approximate dual of frames and fusion frames. We generalize the restricted isometry property for g-frames. We also discuss the stability of g-frames under Erasure of operators.
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