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 operatorT is computed in terms of the spectral radius of a generalized inverse ofT. This provides a partial answer to a conjecture of J. Zemánek.
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Badea, C., Mbekhta, M. Generalized inverses and the maximal radius of regularity of a Fredholm operator. Integr equ oper theory 28, 133–146 (1997). https://doi.org/10.1007/BF01191814
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DOI: https://doi.org/10.1007/BF01191814