On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping
| Autor: | Migdad Ismailov, Fatima Guliyeva, Yusif Nasibov |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Journal of Function Spaces, Vol 2016 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2314-8896 2314-8888 |
| DOI: | 10.1155/2016/9516839 |
| Popis: | The concept of b-frame which is a generalization of the frame in Hilbert spaces generated by the bilinear mapping is considered. b-frame operator is defined; analogues of some well-known results of frame theory are obtained in Hilbert spaces. Conditions for the existence of b-frame in Hilbert spaces are obtained; the relationship between the definite bounded surjective operator and b-frame is also studied. The concept of b-orthonormal b-basis is introduced. |
| Databáze: | Directory of Open Access Journals |
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