| The Generalized Drazin inverses of Special Operator Matrices |
| کد مقاله : 1092-SLAA10 |
| نویسندگان |
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مرجان شیبانی عبدالیوسفی * دانشگاه فرزانگان سمنان |
| چکیده مقاله |
| An element a in a Banach algebra A has g-Drazin inverse provided that there exists b ∈ A such that b = bab,ab = ba,a−a^2b ∈ A^qnil. We investigate the g-Drazin inverse of the 2 × 2 matrices in a Banach algebra. We thereby study the the existence of the g-Drazin inverse of a special block operator matrix $\left( \begin{array}{cc} E&I\\ F&0 \end{array} \right)$ posed by campbell in the research on singular differential equations. |
| کلیدواژه ها |
| g-Drazin inverse, Banach algebra, operator matrix |
| وضعیت: پذیرفته شده برای ارسال فایل های ارائه پوستر |