Modular Riesz bases versus Riesz bases in Hilbert C*-modules

被引：0
|
作者：
Hasannasab, Marzieh [1 ]
机构：
[1] Tech Univ Kaiserslautern, Paul Ehrlich Str Gebaude 31, D-67663 Kaiserslautern, Germany
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 01期
关键词：
Hilbert C*-modules; modular Riesz bases; exact frames; FUSION FRAMES;
D O I：
10.1142/S1793557120501491
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give new characterizations of modular Riesz bases in Hilbert C-modules. We prove that modular Riesz bases share many properties with Riesz bases in Hilbert spaces. Moreover, we show that there are also important differences; for example, there exist exact frames that are not modular Riesz bases.
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页数：7
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