×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: EuDML