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
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