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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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