Indian Journal of Science and Technology

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.

Keywords: Approximate Dual Frames, Bessel Sequences, Dual Frames, Fusion Frames, G-frames, Pseudo-dual Frames