Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames

محورهای موضوعی : History and biography

M. S. Asgari ¹ (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran)
G. Kavian ² (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran)

تاریخ دریافت : 1391/10/12 تاریخ پذیرش : 1391/10/12 تاریخ انتشار : 1391/12/11

کلید واژه: G-frames, dual frames, dual g-frames,

چکیده مقاله :

In this paper we study the duality of Bessel and g-Bessel sequences in Hilbertspaces. We show that a Bessel sequence is an inner summand of a frame and the sum of anyBessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next wedevelop this results to the g-frame situation.

منابع و مأخذ:

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