%0 Journal Article
%T G-Frames, g-orthonormal bases and g-Riesz bases
%J Journal of Linear and Topological Algebra ( JLTA )
%I Central Tehran Branch, Islamic Azad University
%Z 2252-0201
%A S. Karimizad, S.
%D 2013
%\ 03/01/2013
%V 02
%N 01
%P 25-33
%! G-Frames, g-orthonormal bases and g-Riesz bases
%K G-frames
%K G-Bessel sequences
%K G-orthonormal bases
%R
%X 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 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.
%U http://jlta.iauctb.ac.ir/article_514236_f51fb20a99740375e57204585ff2e228.pdf