G-Frames, g-orthonormal bases and g-Riesz bases

محورهای موضوعی : History and biography

S. S. Karimizad ¹ (Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran)

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

کلید واژه: G-frames, G-Bessel sequences, G-orthonormal bases,

چکیده مقاله :

G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection betweeng-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a boundedoperator.

منابع و مأخذ:

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