A Note on Certain Classes of Retro Banach Frames
A new class of retro Banach frames called retro bi-Banach frame has been introduced and studied with illustrative examples. Relationships of a retro bi-Banach frame with various existing classes of Banach frame are presented. In the sequel, we deal with characterizations of the near-exact retro Bana...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2023-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_696756_6be794deb9fc097900f9a5f6c60ccb5b.pdf |
| _version_ | 1811175419526774784 |
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| author | Mayur Goswami |
| author_facet | Mayur Goswami |
| author_sort | Mayur Goswami |
| collection | DOAJ |
| description | A new class of retro Banach frames called retro bi-Banach frame has been introduced and studied with illustrative examples. Relationships of a retro bi-Banach frame with various existing classes of Banach frame are presented. In the sequel, we deal with characterizations of the near-exact retro Banach frame and discuss the invariance of near-exact retro Banach frames under block perturbation. Finally, applications regarding the rank of a matrix and eigenvalue problems have been demonstrated. |
| first_indexed | 2024-04-10T19:35:52Z |
| format | Article |
| id | doaj.art-b3ff9cacf8854d46814356d4156698c0 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-10T19:35:52Z |
| publishDate | 2023-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-b3ff9cacf8854d46814356d4156698c02023-01-30T06:10:45ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002023-01-0120111710.22130/scma.2022.554957.1122696756A Note on Certain Classes of Retro Banach FramesMayur Goswami0Department of Mathematics, Kalyan P.G. College, Bhilai Nagar (C.G.) 490006 India.A new class of retro Banach frames called retro bi-Banach frame has been introduced and studied with illustrative examples. Relationships of a retro bi-Banach frame with various existing classes of Banach frame are presented. In the sequel, we deal with characterizations of the near-exact retro Banach frame and discuss the invariance of near-exact retro Banach frames under block perturbation. Finally, applications regarding the rank of a matrix and eigenvalue problems have been demonstrated.https://scma.maragheh.ac.ir/article_696756_6be794deb9fc097900f9a5f6c60ccb5b.pdfbanach frameretro banach framenear-exact retro banach frameretro bi-banach frame |
| spellingShingle | Mayur Goswami A Note on Certain Classes of Retro Banach Frames Sahand Communications in Mathematical Analysis banach frame retro banach frame near-exact retro banach frame retro bi-banach frame |
| title | A Note on Certain Classes of Retro Banach Frames |
| title_full | A Note on Certain Classes of Retro Banach Frames |
| title_fullStr | A Note on Certain Classes of Retro Banach Frames |
| title_full_unstemmed | A Note on Certain Classes of Retro Banach Frames |
| title_short | A Note on Certain Classes of Retro Banach Frames |
| title_sort | note on certain classes of retro banach frames |
| topic | banach frame retro banach frame near-exact retro banach frame retro bi-banach frame |
| url | https://scma.maragheh.ac.ir/article_696756_6be794deb9fc097900f9a5f6c60ccb5b.pdf |
| work_keys_str_mv | AT mayurgoswami anoteoncertainclassesofretrobanachframes AT mayurgoswami noteoncertainclassesofretrobanachframes |