Title of article
G-Frames, g-orthonormal bases and g-Riesz bases
Author/Authors
Karimizad, S. S. Department of Mathematics - Faculty of Science - Islamic Azad University of Central Tehran Branch,
Pages
9
From page
25
To page
33
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 between g-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 denes a bounded operator.
Keywords
G-frames , G-Bessel sequences , G-orthonormal bases
Journal title
Astroparticle Physics
Serial Year
2013
Record number
2436136
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