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Some properties of c-K-g-frames in Hilbert C*-modules
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2022-04-27 , DOI: 10.1080/03081087.2022.2061400 Javad Baradaran 1 , Jahangir Cheshmavar 2 , Fereshte Nikahd 2 , Zahra Ghorbani 1
中文翻译:
Hilbert C*-modules 中 cKg-frames 的一些属性
更新日期:2022-04-27
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2022-04-27 , DOI: 10.1080/03081087.2022.2061400 Javad Baradaran 1 , Jahangir Cheshmavar 2 , Fereshte Nikahd 2 , Zahra Ghorbani 1
Affiliation
A number of differences exist between the structures of Hilbert spaces and Hilbert -modules. This work aims at studying some properties and characterizations of c-K-g-frames in Hilbert -modules. Moreover, the dual c-K-g-Bessel system for a given c-K-g-frame in a Hilbert -module is introduced and all dual c-K-g-Bessel systems are characterized. Finally, we provide sufficient conditions under which the sum of two c-K-g-frames in a Hilbert -module is a c-K-g-frame.
中文翻译:
Hilbert C*-modules 中 cKg-frames 的一些属性
希尔伯特空间和希尔伯特空间的结构之间存在许多差异-模块。这项工作旨在研究希尔伯特中c - K - g -框架的一些性质和特征-模块。此外,希尔伯特中给定c - K - g -框架的对偶c - K - g -Bessel 系统引入了 -module 并表征了所有双c - K - g -Bessel 系统。最后,我们提供了充分的条件,在该条件下,希尔伯特中的两个c - K - g -frames之和-module 是一个c - K - g -frame。