Approximate duals and nearly Parseval frames

被引：13

作者：

Mirzaee Azandaryani, Morteza ^{[1
]}

机构：

[1] Univ Qom, Dept Math, Fac Sci, Qom, Iran

来源：

TURKISH JOURNAL OF MATHEMATICS | 2015年 / 39卷 / 04期

关键词：

Hilbert C*-module; g-frame; frame; approximate duality; epsilon-nearly Parseval frame; FUSION FRAMES; HILBERT; MODULES; BASES;

D O I：

10.3906/mat-1408-37

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce approximate duality of g-frames in Hilbert C*-modules and we show that approximate duals of g-frames in Hilbert C*-modules share many useful properties with those in Hilbert spaces. Moreover, we obtain some new results for approximate duality of frames and g-frames in Hilbert spaces; in particular, we consider approximate duals of epsilon-nearly Parseval and epsilon-close frames.

引用

页码：515 / 526

页数：12

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