WEAVING CONTINUOUS 𝐾-FRAMES IN HILBERT SPACES

In this paper, we introduce and study weaving continuous 𝐾-frames in Hilbert spaces. We first introduce a useful result for the production of these frames and then examine them under the influence of a bounded operator. Due to the basic and useful applications of different types of frames in rest...

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Bibliographic Details
Main Author: Gh. Rahimlou
Format: Article
Language:English
Published: Petrozavodsk State University 2022-06-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11110&lang=ru
Description
Summary:In this paper, we introduce and study weaving continuous 𝐾-frames in Hilbert spaces. We first introduce a useful result for the production of these frames and then examine them under the influence of a bounded operator. Due to the basic and useful applications of different types of frames in restoring some deleted information on data transfer issues, we give at the end of the paper some conditions of setting the frame under the removal of some members of the measure space and we show that this is related to the discrete 𝐾-frames.
ISSN:2306-3424
2306-3432