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Additive results for g$\pi$-Hirano inverses in Banach algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 23 خرداد 1405 اصل مقاله (358.92 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.31094.4563 | ||
| نویسندگان | ||
| Bibi Roghaye Bahlekeh1؛ Rahman Bahmani Sangesari1؛ Marjan Sheibani* 2؛ Nahid Ashrafi1 | ||
| 1Department of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran | ||
| 2Farzanegan Campus, Semnan University, Semnan, Iran | ||
| تاریخ دریافت: 08 تیر 1402، تاریخ بازنگری: 29 دی 1402، تاریخ پذیرش: 15 خرداد 1403 | ||
| چکیده | ||
| An element $a$ in a Banach algebra $\mathcal{A}$ has generalized $\pi$-Hirano inverse if there exists $b\in \mathcal{A}$ such that $$b=bab, ab=ba, a^n-ab\in \mathcal{A}^{qnil} ~\mbox{for some}~ n\in \Bbb {N}.$$ New additive results for the generalized $\pi$-Hirano inverse of an element in a Banach algebra are presented. Applications to operator matrices are thereby obtained. | ||
| کلیدواژهها | ||
| generalized $\pi$-Hirano inverse؛ additive property؛ operator matrix؛ spectral idempotent | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 48 تعداد دریافت فایل اصل مقاله: 49 |
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