Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201020120130301G-Frames, g-orthonormal bases and g-Riesz bases2533514236ENS.S. KarimizadDepartment of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, Tehran, IranJournal Article20130101G-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 betweenÂ 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 boundedÂ operator.http://jlta.iauctb.ac.ir/article_514236_f51fb20a99740375e57204585ff2e228.pdf