Some relationship between G-frames and frames

Authors

  • Akbar Nazari Department of Mathematics, Shahid Bahonar University, Kerman, Iran.
Abstract:

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.

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Journal title

volume 02  issue 1

pages  1- 7

publication date 2015-06-01

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