Fusion frames and g-frames in Hilbert C*-modules

被引：57
|
作者：
Khosravi, Amir [1 ]
Khosravi, Behrooz [2 ]
机构：
[1] Univ Teacher Educ, Fac Math Sci & Comp Engn, Tehran 15618, Iran
[2] Amirkabir Univ Technol Tehran Polytech, Fac Math & Comp Sci, Dept Pure Math, Tehran 15914, Iran
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2008年 / 6卷 / 03期
关键词：
frame; fusion frame; g-frame; Hilbert C*-module;
D O I：
10.1142/S0219691308002458
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The notion of frame has some generalizations such as frames of subspaces, fusion frames and g-frames. In this paper, we introduce fusion frames and g-frames in Hilbert C*-modules and we show that they share many useful properties with their corresponding notions in Hilbert space. We also generalize a perturbation result in frame theory to g-frames in Hilbert spaces. We also show that tensor product of fusion frames (g-frames) is a fusion frame (g-frame) and tensor product of resolution of identity is a resolution of identity.
引用
收藏
页码：433 / 446
页数：14
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