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Duals, approximate duals and pseudo-duals of generalized frames in Hilbert C*-modules | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 6، شماره 1، مهر 2025، صفحه 103-113 اصل مقاله (320.63 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2025.16478.1144 | ||
| نویسنده | ||
| Morteza Mirzaee Azandaryani* | ||
| Department of Mathematics, University of Qom, Qom, Iran. | ||
| چکیده | ||
| The present paper considers duals, approximate duals and pseudo-duals of generalized frames in Hilbert C*-modules. In particular, the ones constructed by bounded operators inserted between the synthesis and analysis operators of a Bessel sequence are focused and characterized. Moreover, the mentioned notions for modular g-Riesz bases are studied and some of their properties are obtained. | ||
| کلیدواژه‌ها | ||
| Hilbert C*-module؛ Generalized frame؛ Modular g-Riesz basis؛ Approximate dual؛ Pseudo-dual | ||
| مراجع | ||
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