Pseudo-Duals of Frames and Modular Riesz Bases in Hilbert C *-Modules

被引：0
|
作者：
Azandaryani, Morteza Mirzaee [1 ]
机构：
[1] Univ Qom, Dept Math, Qom, Iran
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2024年 / 21卷 / 04期
关键词：
Hilbert C-& lowast; -module; Frame; Dual; Approximate dual; Pseudo-dual; Modular Riesz basis;
D O I：
10.22130/scma.2024.2022517.1611
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present article, duals, approximate duals and pseudo-duals (generated by bounded and not necessarily adjointable operators) of a frame in a Hilbert C-& lowast;-module are characterized and some of their properties are obtained. Especially, the ones constructed by multiplication operators are discussed and their stability under the action of morphisms is focused and some equivalent conditions for the stability are derived. Finally, we get some results on pseudo-duals of modular Riesz bases, mainly their preservation under the action of morphisms and their behavior in the presence of semi-normalized symbols are studied.
引用
收藏
页码：173 / 189
页数：17
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