Some Results on Controlled K−Frames in Hilbert Spaces
<span lang="EN-US">Controlled frames have been introduced to improve the numerical efficiency of iterative algorithms for inverting the frame operator. Also K-frames have been introduced to study atomic systems with respect to bounded linear operator. In this paper, the notion of con...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2018-01-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1515 |
| _version_ | 1818689100159385600 |
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| author | M. Nouri A. Rahimi SH. Najafzadeh |
| author_facet | M. Nouri A. Rahimi SH. Najafzadeh |
| author_sort | M. Nouri |
| collection | DOAJ |
| description | <span lang="EN-US">Controlled frames have been introduced to improve the numerical efficiency of iterative algorithms for inverting the frame operator. Also K-frames have been introduced to study atomic systems with respect to bounded linear operator. In this paper, the notion of controlled K-frames will be studied and it will be shown that controlled K-frames are equivalent to K-frames under some mild conditions. Finally, the stability of controlled K-Bessel sequences under perturbation will be discussed with some examples.</span> |
| first_indexed | 2024-12-17T12:04:44Z |
| format | Article |
| id | doaj.art-260d9128e2fa40b68f72749ae16d9831 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-17T12:04:44Z |
| publishDate | 2018-01-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-260d9128e2fa40b68f72749ae16d98312022-12-21T21:49:41ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-01-011616274286Some Results on Controlled K−Frames in Hilbert SpacesM. NouriA. RahimiSH. Najafzadeh<span lang="EN-US">Controlled frames have been introduced to improve the numerical efficiency of iterative algorithms for inverting the frame operator. Also K-frames have been introduced to study atomic systems with respect to bounded linear operator. In this paper, the notion of controlled K-frames will be studied and it will be shown that controlled K-frames are equivalent to K-frames under some mild conditions. Finally, the stability of controlled K-Bessel sequences under perturbation will be discussed with some examples.</span>http://etamaths.com/index.php/ijaa/article/view/1515 |
| spellingShingle | M. Nouri A. Rahimi SH. Najafzadeh Some Results on Controlled K−Frames in Hilbert Spaces International Journal of Analysis and Applications |
| title | Some Results on Controlled K−Frames in Hilbert Spaces |
| title_full | Some Results on Controlled K−Frames in Hilbert Spaces |
| title_fullStr | Some Results on Controlled K−Frames in Hilbert Spaces |
| title_full_unstemmed | Some Results on Controlled K−Frames in Hilbert Spaces |
| title_short | Some Results on Controlled K−Frames in Hilbert Spaces |
| title_sort | some results on controlled k frames in hilbert spaces |
| url | http://etamaths.com/index.php/ijaa/article/view/1515 |
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