%0 Journal Article
%T Some relationship between G-frames and frames
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Rashidi-Kouchi, Mehdi
%A Nazari, Akbar
%D 2015
%\ 06/01/2015
%V 02
%N 1
%P 1-7
%! Some relationship between G-frames and frames
%K Frame
%K G-Frame
%K Hilbert C*-module
%K g-frame operator
%K Bounded operator
%R
%X In this paper we proved that every g-Riesz basis for Hilbert space $H$ with respect to $K$ by adding a condition is a Riesz basis for Hilbert $B(K)$-module $B(H,K)$. This is an extension of [A. Askarizadeh, M. A. Dehghan, {\em G-frames as special frames}, Turk. J. Math., 35, (2011) 1-11]. Also, we derived similar results for g-orthonormal and orthogonal bases. Some relationships between dual frame, dual g-frame and exact frame and exact g-frame are presented too.
%U https://scma.maragheh.ac.ir/article_11699_ca0b66c4ecad6b41c794d5d431bf3ae4.pdf