Document Type: Research Paper


Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran


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 de nes a bounded operator.


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