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.
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页数：14
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