Approximate Duals of g-frames and Fusion Frames in Hilbert C*-modules

被引:2
|
作者
Azandaryani, Morteza Mirzaee [1 ]
机构
[1] Univ Qom, Dept Math, Qom, Iran
来源
关键词
Frame; g-frame; Fusion frame; Biorthogonal sequence; Approximate duality;
D O I
10.22130/scma.2018.81624.396
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study approximate duals of g-frames and fusion frames in Hilbert C*-modules. We get some relations between approximate duals of g-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate duals of modular Riesz bases and fusion frames are obtained. Moreover, we generalize the concept of Q-approximate duality of g-frames and fusion frames to Hilbert C*-modules, where Q is an adjointable operator, and obtain some properties of this kind of approximate duals.
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页码:135 / 146
页数:12
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