CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES
In this paper, we introduce the concept of weavingcontinuous K-g-frames in Hilbert spaces, which are the generali-zation of weaving K-g-frames and weaving c-g-frames. We provesome new results for these frames, focusing on the constructions ofc-K-g-woven frames for Hilbert spaces by certain operators...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2021-04-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=9310&lang=en |
| _version_ | 1819098417749557248 |
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| author | E. Alizadeh V. Sadri |
| author_facet | E. Alizadeh V. Sadri |
| author_sort | E. Alizadeh |
| collection | DOAJ |
| description | In this paper, we introduce the concept of weavingcontinuous K-g-frames in Hilbert spaces, which are the generali-zation of weaving K-g-frames and weaving c-g-frames. We provesome new results for these frames, focusing on the constructions ofc-K-g-woven frames for Hilbert spaces by certain operators withspecific properties. Finally, we verify a Paley-Wiener type pertur-bation of these frames. |
| first_indexed | 2024-12-22T00:30:40Z |
| format | Article |
| id | doaj.art-2371cecb09cf4f109cba82592f837e8d |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-22T00:30:40Z |
| publishDate | 2021-04-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-2371cecb09cf4f109cba82592f837e8d2022-12-21T18:44:56ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322021-04-0110(28)231710.15393/j3.art.2021.9310CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACESE. Alizadeh0V. Sadri1Department of Mathematics, Marand Branch, Islamic Azad UniversityDepartment of Mathematics, Faculty of Tabriz Branch, Technical andVocational University (TVU)In this paper, we introduce the concept of weavingcontinuous K-g-frames in Hilbert spaces, which are the generali-zation of weaving K-g-frames and weaving c-g-frames. We provesome new results for these frames, focusing on the constructions ofc-K-g-woven frames for Hilbert spaces by certain operators withspecific properties. Finally, we verify a Paley-Wiener type pertur-bation of these frames.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=9310&lang=enc-k-g-framecontinuous weaving framec-k-g-wovenframes |
| spellingShingle | E. Alizadeh V. Sadri CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES Проблемы анализа c-k-g-frame continuous weaving frame c-k-g-wovenframes |
| title | CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES |
| title_full | CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES |
| title_fullStr | CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES |
| title_full_unstemmed | CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES |
| title_short | CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES |
| title_sort | constructions of weaving continuousg frames for operators in hilbert spaces |
| topic | c-k-g-frame continuous weaving frame c-k-g-wovenframes |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=9310&lang=en |
| work_keys_str_mv | AT ealizadeh constructionsofweavingcontinuousgframesforoperatorsinhilbertspaces AT vsadri constructionsofweavingcontinuousgframesforoperatorsinhilbertspaces |