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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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2022-06-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11110&lang=ru |
| _version_ | 1797894957018644480 |
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| author | Gh. Rahimlou |
| author_facet | Gh. Rahimlou |
| author_sort | Gh. Rahimlou |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T07:18:48Z |
| format | Article |
| id | doaj.art-ae6e73180c2f4ea9810ebd911cb91db4 |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-04-10T07:18:48Z |
| publishDate | 2022-06-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-ae6e73180c2f4ea9810ebd911cb91db42023-02-24T20:24:57ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322022-06-0111 (29)29110510.15393/j3.art.2022.11110WEAVING CONTINUOUS 𝐾-FRAMES IN HILBERT SPACESGh. Rahimlou0Department of Mathematics Technical and Vocational UniversityIn 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.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11110&lang=ru: continuous-framescontinuous 𝐾-framesweaving continuous 𝐾-frames |
| spellingShingle | Gh. Rahimlou WEAVING CONTINUOUS 𝐾-FRAMES IN HILBERT SPACES Проблемы анализа : continuous-frames continuous 𝐾-frames weaving continuous 𝐾-frames |
| title | WEAVING CONTINUOUS 𝐾-FRAMES IN HILBERT SPACES |
| title_full | WEAVING CONTINUOUS 𝐾-FRAMES IN HILBERT SPACES |
| title_fullStr | WEAVING CONTINUOUS 𝐾-FRAMES IN HILBERT SPACES |
| title_full_unstemmed | WEAVING CONTINUOUS 𝐾-FRAMES IN HILBERT SPACES |
| title_short | WEAVING CONTINUOUS 𝐾-FRAMES IN HILBERT SPACES |
| title_sort | weaving continuous 𝐾 frames in hilbert spaces |
| topic | : continuous-frames continuous 𝐾-frames weaving continuous 𝐾-frames |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11110&lang=ru |
| work_keys_str_mv | AT ghrahimlou weavingcontinuouskframesinhilbertspaces |