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Notion of non-absolute family of spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 28، دوره 14، شماره 1، فروردین 2023، صفحه 345-354 اصل مقاله (431.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24072.2664 | ||
| نویسندگان | ||
| Mashael M. Albaidani* 1؛ Hari M. Srivastava2، 3؛ Abdul Hamid Ganie4 | ||
| 1Department of Mathematics, College of Science and Humanities Studies, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia | ||
| 2Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada | ||
| 3Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China | ||
| 4SSM College of Engineering, Parihaspora, Pattan, Jammu and Kashmir 193121, India | ||
| تاریخ دریافت: 04 مرداد 1400، تاریخ بازنگری: 15 آذر 1400، تاریخ پذیرش: 25 آذر 1400 | ||
| چکیده | ||
| The scenario of this article is to introduce the space $\mathfrak{R}^{t}_s(p, \Delta)$ based on a general Riesz sequence space. Its completeness property is derived and its linear isomorphism property with $\ell(p)$ is proved. The K\"{o}the-dual property of the space $\mathfrak{R}^{t}_s(p, \Delta)$ is also derived. Furthermore, its basis is constructed and some characterization of infinite matrices are given. | ||
| کلیدواژهها | ||
| Sequence spaces؛ Kothe-duals؛ Infinite matrix | ||
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