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Some additive results for the g-Drazin inverse of operators | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 خرداد 1404 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.25909.1595 | ||
| نویسندگان | ||
| M. Sheibani* 1؛ F. Tayebi2؛ N. Ashrafi2؛ R. Bahmani2 | ||
| 1Farzanegan Campus, Semnan University, Semnan, Iran | ||
| 2Department of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran | ||
| چکیده | ||
| The motivation of this article, is to establish new additive results for the g-Drazin inverse of linear operators over Banach spaces. Following the applicability of the g-Drazin inverse of operator matrices in solving the systems of linear differential equations, we then apply our results to operator matrices and obtain some results on generalized Drazin inverse of block operator matrices. | ||
| کلیدواژه‌ها | ||
| Drazin inverse؛ Additive property؛ Operator matrix؛ Banach algebra | ||
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