New characterizations of g-frames and g-Riesz bases

被引：6

作者：

Li, Dongwei ^{[1
]}

Leng, Jinsong ^{[2
]}

Huang, Tingzhu ^{[2
]}

机构：

[1] HeFei Univ Technol, Sch Math, 485 Dansia Rd, Hefei 230009, Anhui, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, West Hi Tech Zone, 2006 Xiyuan Ave, Chengdu 611731, Sichuan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2018年 / 16卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Frames; g-frames; g-Bessel sequence; g Riesz bases; excess;

D O I：

10.1142/S0219691318500534

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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.

引用

页数：14

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