The Generalized Drazin inverses of Special Operator Matrices |
کد مقاله : 1092-SLAA10 |
نویسندگان |
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 |