Generalized inverses and the maximal radius of regularity of a Fredholm operator

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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.
LaTeX, 14 pages, to appear in Integral Equations and Operator Theory

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