Fusion frames and g-frames

被引：96

作者：

Khosravi, Amir ^{[1
]}

Musandeh, Kamran ^{[2
]}

机构：

[1] Univ Teacher Educ, Fac Math Sci & Comp Engn, Tehran 15618, Iran

[2] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 342卷 / 02期

关键词：

frames; g-frames; fusion frames; duality; perturbations; stability;

D O I：

10.1016/j.jmaa.2008.01.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fusion frames and g-frames were considered recently as generalizations of frames in Hilbert spaces, in this paper we generalize some of the known results in frame theory to fusion frames and g-frames. We obtain new g-frames by considering g-frames for its components. We also obtain some results about alternate dual g-frames, excess of g-frames and stability of g-frames under small perturbations. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1068 / 1083

页数：16

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