Woven Frames in Quaternionic Hilbert Spaces
In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces. Also, a characterization of weaving frames in terms of a surjective-bou...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6694892 |
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| _version_ | 1849305540009656320 |
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| author | S. K. Sharma Nitin Sharma Khole Timothy Poumai |
| author_facet | S. K. Sharma Nitin Sharma Khole Timothy Poumai |
| author_sort | S. K. Sharma |
| collection | DOAJ |
| description | In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces. Also, a characterization of weaving frames in terms of a surjective-bounded right linear operator is given. |
| format | Article |
| id | doaj-art-06d6d4deea9047028e65fcf2cc30e449 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-06d6d4deea9047028e65fcf2cc30e4492025-08-20T03:55:24ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66948926694892Woven Frames in Quaternionic Hilbert SpacesS. K. Sharma0Nitin Sharma1Khole Timothy Poumai2Department of Mathematics, Kirori Mal College, University of Delhi, Delhi 110 007, IndiaDepartment of Mathematics, University of Delhi, Delhi 110 007, IndiaDepartment of Mathematics, Motilal Nehru College, University of Delhi, Delhi 110 021, IndiaIn this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces. Also, a characterization of weaving frames in terms of a surjective-bounded right linear operator is given.http://dx.doi.org/10.1155/2021/6694892 |
| spellingShingle | S. K. Sharma Nitin Sharma Khole Timothy Poumai Woven Frames in Quaternionic Hilbert Spaces Journal of Mathematics |
| title | Woven Frames in Quaternionic Hilbert Spaces |
| title_full | Woven Frames in Quaternionic Hilbert Spaces |
| title_fullStr | Woven Frames in Quaternionic Hilbert Spaces |
| title_full_unstemmed | Woven Frames in Quaternionic Hilbert Spaces |
| title_short | Woven Frames in Quaternionic Hilbert Spaces |
| title_sort | woven frames in quaternionic hilbert spaces |
| url | http://dx.doi.org/10.1155/2021/6694892 |
| work_keys_str_mv | AT sksharma wovenframesinquaternionichilbertspaces AT nitinsharma wovenframesinquaternionichilbertspaces AT kholetimothypoumai wovenframesinquaternionichilbertspaces |