On stability of g-frames and g-Riesz bases in Hilbert C*-modules-Reference-Cited by-同舟云学术

On stability of g-frames and g-Riesz bases in Hilbert C*-modules

Published:2014-11 Issue:06 Volume:12 Page:1450036
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

Rashidi-Kouchi Mehdi¹,Nazari Akbar²,Amini Massoud³

Affiliation:

1. Department of Mathematics, Kahnooj Branch, Islamic Azad University, Kahnooj, Iran

2. Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

3. Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran

Abstract

In this paper, we develop the basic stability theory for g-frames and g-Riesz bases in Hilbert C*-module. Also, we study stability of the dual g-frames in Hilbert C*-module. We extend the Casazza–Christensen perturbation theorem to g-frames in Hilbert C*-module but this is not valid for g-Riesz bases. We prove some characterizations of g-frames and g-Riesz bases in Hilbert C*-module.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691314500362

Reference24 articles.

1. Stability theorems for Fourier frames and wavelet Riesz bases

2. Perturbation of operators and applications to frame theory

3. Frame perturbations

4. A Paley-Wiener theorem for frames

5. An Introduction to Frames and Riesz Bases

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