پیوندهای مفید
آمار
| تعداد نشریات | 22 |
| تعداد شمارهها | 709 |
| تعداد مقالات | 10,208 |
| تعداد مشاهده مقاله | 71,653,359 |
| تعداد دریافت فایل اصل مقاله | 63,459,964 |
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 | ||
|
[1] J. Benitez; X. Qin, and X. Liu, New additive results for the generalized Drazin inverse in a Banach Algebra, Filomat 30 (2016), 2289-2294.
[2] H.Y. Chen and M. Sheibani, Jacobson's lemma for the generalized n- strongly Drazin inverse, arXiv:2001.00328v1, [math.RA] (2 Jan 2020).
[3] H.Y. Chen and M.B. Calci, On gs- Drazin inverses in a ring, J. Algebra Appl. 19 (2020), Article ID: 9 pages.
[4] H.Y. Chen and M. Sheibani, The g- Hirano inverses in Banach algebra, Linear Multilinear Algebra 69 (2021), 1352-1362.
[5] D.S. Cvetkovic-Ilic, D.S. Djordjevic, and Y. Wei, Additive results for the generalized Drazin inverse in a Banach algebra, Linear Algebra Appl. 418 (2006), 53-61.
[6] D.S. Cvetkovic-Ilic; X. Liu, and Y. Wei, Some additive results for the generalized Drazin inverse in a Banach algebra, Electronic J. Linear Algebra 22 (2011), 1049-1058.
[7] C. Deng, D.S. Cvetkovic-Ilic, and Y. Wei, Some results on the generalized Derazin inverse of operator matrices, Linear Multilinear Algebra 58 (2010), 503-521.
[8] C. Deng and Y. Wei, New additive results for the generalized Drazin inverse, J. Math. Anal. Appl. 379 (2010), 313-321.
[9] D.S. Djordjevic and Y. Wei, Additive results for the generalized Drazin inverse, J. Aust. Math. Soc. 73 (2002), 115-125.
[10] O. Gürgün, Properties of generalized strongly Drazin invertible elements in general rings, J. Algebra Appl. 16 (2017), no. 11, 115-125.
[11] R.E. Harte, Invertibility and Singularity for Bounded Linear Operators, Marcel Dekker, New York, 1988.
[12] J.J. Koliha, A generalized Drazin inverse, Glasgow Math. J. 38 (1996), 367-381.
[13] J.J. Koliha and P. Patricio, Elements of rings with equal spectral idempotents, J. Aust. Math. Soc. 72 (2002), 137-152.
[14] Y. Liao, J. Chen, and J. Cui, Cline's formula for the generalized Drazin inverse, Bull. Malays. Math. Sci. Soc. 37 (2014), 37-42.
[15] X. Liu and X. Qin, Representations for the generalized Drazin inverse of the sum in a Banach algebra and its application for some operator matrices, Sci. World J. 2015 (2015), Article ID 156934, 8 pages.
[16] D. Mosic, H. Zou, and J. Chen, The generalized Drazin inverse of the sum in a Banach algebra, Ann. Funct. Anal. 8 (2017), 90-105.
[17] A. Shakoor, H. Yang, and I. Ali, The Drazin inverses of the sum of two matrices and block matrix, J. Appl. Math. Inf. 31 (2013), 343-352.
[18] L. Sun, B. Zheng, S. Bai, and C. Bu, Formulas for the Drazin inverse of matrices over skew fields, Filomat 30 (2016), 3377-3388.
[19] H. Wang, J. Huang, and A. Chen, The Drazin inverse of the sum of two bounded linear operators and it's applications, Filomat 31 (2017), 2391-2402.
[20] S. Wang, L. Guo, and L. Zhang, On the generalized Drazin inverse of the sum of two operators, AMR 846-847 (2014), 1286-1290.
[21] H. Yang and X. Liu, The Drazin inverse of the sum of two matrices and its applications, J. Comput. Appl. Math. 235 (2011), 1412-1417.
[22] H. Zou; D. Mosic, K. Zuo, and Y. Chen, On the n- strong Drazin invertibility in rings, Turk. J. Math. 43 (2019), 2659-2679. | ||
|
آمار تعداد مشاهده مقاله: 4 تعداد دریافت فایل اصل مقاله: 2 |
||