N. Castro-Gonzalez, Facultad de Informatica, Universidad Politécnica de Madrid, 28660 Madrid, Spain, e-mail: nieves@fi.mup.es; J. J. Koliha, Department of Mathematics and Statistics, University of Melbourne, VIC 3010, Australia, e-mail: koliha@unimelb.edu.au; Yimin Wei, Department of Mathematics, Fudan University, Shanghai 200433, China, e-mail: ymwei@fudan.edu.cn
Abstract: The paper gives new integral representations of the $g$-Drazin inverse of an element $a$ of a \cstar {} that require no restriction on the spectrum of $a$. The representations involve powers of $a$ and of its adjoint.
Keywords: \cstar , $g$-Drazin inverse, integral representation
Classification (MSC2000): 46H05, 46L05
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