g-Besselian frames in Hilbert spaces

被引：14

作者：

Ding, Ming Ling ^{[1
]}

Zhu, Yu Can ^{[2
]}

机构：

[1] Fujian Agr & Forestry Univ, Coll Comp & Informat, Fuzhou 350002, Peoples R China

[2] Fuzhou Univ, Dept Math, Fuzhou 350108, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 11期

关键词：

g-frame; Besselian frame; g-Besselian frame; stability; FUSION FRAMES; RIESZ BASIS; SUBSPACES; BASES;

D O I：

10.1007/s10114-010-9081-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of a g-Besselian frame in a Hilbert space and discuss the relations between a g-Besselian frame and a Besselian frame. We also give some characterizations of g-Besselian frames. In the end of this paper, we discuss the stability of g-Besselian frames. Our results show that the relations and the characterizations between a g-Besselian frame and a Besselian frame are different from the corresponding results of g-frames and frames.

引用

页码：2117 / 2130

页数：14

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