Some properties of c-K-g-frames in Hilbert C-modules

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...

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 71; no. 8; pp. 1323 - 1337
Main Authors Baradaran, Javad, Cheshmavar, Jahangir, Nikahd, Fereshte, Ghorbani, Zahra
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 24.05.2023
Taylor & Francis Ltd
Subjects
c-K-g-frame
dual c-K-g-Bessel system
Frames
Hilbert
Hilbert space
module
Modules
Primary 42C15
Secondary 46L99
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Summary: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.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2022.2061400