g-frames, g-orthonormal bases and g-riesz bases
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abstract
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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Journal title:
journal of linear and topological algebra (jlta)جلد ۲، شماره ۰۱، صفحات ۲۵-۳۳
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