Some relationship between G-frames and frames

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 der...

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Bibliographic Details
Main Authors: Mehdi Rashidi-Kouchi, Akbar Nazari
Format: Article
Language:English
Published: University of Maragheh 2015-06-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/pdf_11699_ca0b66c4ecad6b41c794d5d431bf3ae4.html