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Integral representations of the \(g\)-Drazin inverse in \(C^{\ast }\)-algebras. (English) Zbl 1056.46048

Summary: The paper gives new integral representations of the \(g\)-Drazin inverse of an element \(a\) of a \(C^{\ast }\)-algebra that require no restriction on the spectrum of \(a\). The representations involve powers of  \(a\) and of its adjoint.

MSC:

46L05 General theory of \(C^*\)-algebras
46H05 General theory of topological algebras
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