New characterizations of g-frames and g-Riesz bases-Reference-Cited by-同舟云学术

New characterizations of g-frames and g-Riesz bases

Published:2018-10-10 Issue:06 Volume:16 Page:1850053
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:

Li Dongwei¹,Leng Jinsong²,Huang Tingzhu²

Affiliation:

1. School of Mathematics, HeFei University of Technology, No. 485, Danxia Road, 230009 Hefei, Anhui, P. R. China

2. School of Mathematical Sciences, University of Electronic Science and Technology of China, No. 2006, Xiyuan Ave, West Hi-Tech Zone, 611731, Chengdu, Sichuan, P. R. China

Abstract

In this paper, we give some new characterizations of g-frames, g-Bessel sequences and g-Riesz bases from their topological properties. By using the Gram matrix associated with the g-Bessel sequence, we present a sufficient and necessary condition under which the sequence is a g-Bessel sequence (or g-Riesz basis). Finally, we consider the excess of a g-frame and obtain some new results.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691318500534

Reference15 articles.

1. The road to equal-norm Parseval frames

2. Frames, graphs and erasures

3. Ten Lectures on Wavelets

4. A class of nonharmonic Fourier series

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