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

页码：433 / 446

页数：14

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