The paper characterizes generalized and pseudo n-strong Drazin invertibility via a^n - a^(2n) being quasinilpotent or lying in the Jacobson radical closure, then proves additive and weighted extensions.
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The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras
The paper characterizes generalized and pseudo n-strong Drazin invertibility via a^n - a^(2n) being quasinilpotent or lying in the Jacobson radical closure, then proves additive and weighted extensions.