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 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.
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Journal title
volume 02 issue 01
pages 25- 33
publication date 2013-03-01
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