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Keywords:
$C^*$-algebra; $g$-Drazin inverse; integral representation
$C^*$-algebra; $g$-Drazin inverse; integral representation
Summary:
The paper gives new integral representations of the $g$-Drazin inverse of an element $a$ of a $C^*$-algebra that require no restriction on the spectrum of $a$. The representations involve powers of $a$ and of its adjoint.
References:
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