G-Frames, g-orthonormal bases and g-Riesz bases
نویسنده
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 between g-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 denes a bounded operator.
منابع مشابه
g-frames, g-orthonormal bases and g-riesz bases
g-frames in hilbert spaces are a redundant set of operators which yield a repre-sentation 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 opera-tors is a g-bessel sequences if and only if the gram matrix associated to its de nes a boundedoperator.
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عنوان ژورنال
دوره 02 شماره 01
صفحات 25- 33
تاریخ انتشار 2013-03-01
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