Frames generated by double sequences in Hilbert spaces
In this paper, we introduce frames generated by double sequences (d-frame) in Hilbert spaces and describe some of their properties. Furthermore, we discuss frame operators, alternate dual frames and stability for d-frames.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia
2023-01-01
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| Series: | Mathematica Moravica |
| Subjects: | |
| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322301053B.pdf |
| _version_ | 1797787864386240512 |
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| author | Biswas Narendra Mehra Chetna Joshi Mahesh C. |
| author_facet | Biswas Narendra Mehra Chetna Joshi Mahesh C. |
| author_sort | Biswas Narendra |
| collection | DOAJ |
| description | In this paper, we introduce frames generated by double sequences (d-frame) in Hilbert spaces and describe some of their properties. Furthermore, we discuss frame operators, alternate dual frames and stability for d-frames. |
| first_indexed | 2024-03-13T01:28:26Z |
| format | Article |
| id | doaj.art-bba9bc4f4eaf41708e76514eaa2ebb6b |
| institution | Directory Open Access Journal |
| issn | 1450-5932 2560-5542 |
| language | English |
| last_indexed | 2024-03-13T01:28:26Z |
| publishDate | 2023-01-01 |
| publisher | University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia |
| record_format | Article |
| series | Mathematica Moravica |
| spelling | doaj.art-bba9bc4f4eaf41708e76514eaa2ebb6b2023-07-04T10:46:42ZengUniversity of Kragujevac, Faculty of Technical Sciences Čačak, SerbiaMathematica Moravica1450-59322560-55422023-01-0127153721450-59322301053BFrames generated by double sequences in Hilbert spacesBiswas Narendra0Mehra Chetna1Joshi Mahesh C.2Kumaun University, Department of Mathematics D.S.B. Campus, Nainital, IndiaKumaun University, Department of Mathematics D.S.B. Campus, Nainital, IndiaKumaun University, Department of Mathematics D.S.B. Campus, Nainital, IndiaIn this paper, we introduce frames generated by double sequences (d-frame) in Hilbert spaces and describe some of their properties. Furthermore, we discuss frame operators, alternate dual frames and stability for d-frames.https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322301053B.pdfframedouble sequenced-framealternate dual d-frameframe operator |
| spellingShingle | Biswas Narendra Mehra Chetna Joshi Mahesh C. Frames generated by double sequences in Hilbert spaces Mathematica Moravica frame double sequence d-frame alternate dual d-frame frame operator |
| title | Frames generated by double sequences in Hilbert spaces |
| title_full | Frames generated by double sequences in Hilbert spaces |
| title_fullStr | Frames generated by double sequences in Hilbert spaces |
| title_full_unstemmed | Frames generated by double sequences in Hilbert spaces |
| title_short | Frames generated by double sequences in Hilbert spaces |
| title_sort | frames generated by double sequences in hilbert spaces |
| topic | frame double sequence d-frame alternate dual d-frame frame operator |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322301053B.pdf |
| work_keys_str_mv | AT biswasnarendra framesgeneratedbydoublesequencesinhilbertspaces AT mehrachetna framesgeneratedbydoublesequencesinhilbertspaces AT joshimaheshc framesgeneratedbydoublesequencesinhilbertspaces |