expansion of bessel and g-bessel sequences to dual frames and dual g-frames
نویسندگان
چکیده
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 مشابه
Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames
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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عنوان ژورنال:
journal of linear and topological algebra (jlta)ناشر: central tehran branch. iau
ISSN 2252-0201
دوره 02
شماره 01 2013
میزبانی شده توسط پلتفرم ابری doprax.com
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