On upper and lower generalized Drazin invertible operators

Miloš D Cvetković, Miloš D Cvetković

Abstract


Upper and lower generalized Drazin invertible operators were introduced in [5]. We will
characterize these operators and their properties will be studied. In addition, we make connection between
the above mentioned operators and operators founded in Fredholm theory. In particular, a bounded
operator is Riesz and generalized Drazin invertible if and only if it is Riesz and upper (resp. lower)
generalized Drazin invertible

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References


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