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

Journal of Linear and Topological Algebra

مقاله 5، دوره 02، شماره 01، خرداد 2013، صفحه 51-57   

نوع مقاله: Research Paper

نویسندگان

M. S. Asgari؛ G. Kavian^*

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

چکیده

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.

کلیدواژه‌ها

G-frames؛ dual frames؛ dual g-frames

مراجع

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