Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames
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Abstract:
In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.
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Journal title
volume 02 issue 01
pages 51- 57
publication date 2013-03-01
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