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Some Results of Frames in Krein Spaces | ||
| Journal of Mahani Mathematical Research | ||
| دوره 10، شماره 1، مرداد 2021، صفحه 53-68 اصل مقاله (430.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.17086.1131 | ||
| نویسندگان | ||
| Azadeh Alijani* ؛ Mansoureh Mahmodi | ||
| Department of Mathematic, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran | ||
| چکیده | ||
| In recently years, frames in Krein spaces had been considered. The paper presents a family of generators for a Krein space by their frames. These generators are dual frames and operator dual frames corresponding to a given frame in a Krein space. We characterize all generalized dual frames of a primary frame. Also, approximately dual frames in a Krein space are introduced and, we study the relation between approximately dual frames and operator duals in a Krein space. Finally, perturbation of frames in this space is considered. | ||
| کلیدواژهها | ||
| Approximately dual frames؛ Frames؛ Krein Spaces؛ Operator dual frames | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 260 تعداد دریافت فایل اصل مقاله: 272 |
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