On Almost Orthogonal Frames
Almost orthogonal frames have been introduced and studied. It has been proved that a bounded almost orthogonal frame satisfies Feichtinger conjecture. Also, we prove that a bounded almost orthogonal frame contains a Riesz basis.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/920607 |
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| author | Virender A. Zothansanga S. K. Kaushik |
| author_facet | Virender A. Zothansanga S. K. Kaushik |
| author_sort | Virender |
| collection | DOAJ |
| description | Almost orthogonal frames have been introduced and studied. It has been proved that a bounded almost orthogonal frame satisfies Feichtinger conjecture. Also, we prove that a bounded almost orthogonal frame contains a Riesz basis. |
| format | Article |
| id | doaj-art-e3f5d0561fee401b9e1e68f236fee79e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e3f5d0561fee401b9e1e68f236fee79e2025-02-03T01:20:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/920607920607On Almost Orthogonal FramesVirender0A. Zothansanga1S. K. Kaushik2Department of Mathematics, Ramjas College, University of Delhi, Delhi 110 007, IndiaDepartment of Mathematics, University of Delhi, Delhi 110 007, IndiaDepartment of Mathematics, Kirori Mal College, University of Delhi, Delhi 110 007, IndiaAlmost orthogonal frames have been introduced and studied. It has been proved that a bounded almost orthogonal frame satisfies Feichtinger conjecture. Also, we prove that a bounded almost orthogonal frame contains a Riesz basis.http://dx.doi.org/10.1155/2012/920607 |
| spellingShingle | Virender A. Zothansanga S. K. Kaushik On Almost Orthogonal Frames International Journal of Mathematics and Mathematical Sciences |
| title | On Almost Orthogonal Frames |
| title_full | On Almost Orthogonal Frames |
| title_fullStr | On Almost Orthogonal Frames |
| title_full_unstemmed | On Almost Orthogonal Frames |
| title_short | On Almost Orthogonal Frames |
| title_sort | on almost orthogonal frames |
| url | http://dx.doi.org/10.1155/2012/920607 |
| work_keys_str_mv | AT virender onalmostorthogonalframes AT azothansanga onalmostorthogonalframes AT skkaushik onalmostorthogonalframes |