Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames
الموضوعات :
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)
الکلمات المفتاحية: G-frames, dual frames, dual g-frames,
ملخص المقالة :
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.
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