2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152409Operators 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 TheoryFunctional Analysis47A10text