Generalized inverses and the maximal radius of regularity of a Fredholm operator
Catalin Badea, Mostafa Mbekhta
Abstract
Operators possessing analytic generalized inverses satisfying the resolvent identity are studied. Several characterizations and necessary conditions are obtained. The maximal radius of regularity for a Fredholm operator T is computed in terms of the spectral radius of a generalized inverse of T. This provides a partial answer to a conjecture of J. Zemánek.
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