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arXiv · funct-an/9612007

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

Catalin Badea·Mostafa Mbekhta
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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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Catalin Badea, Mostafa Mbekhta. 1996-12-19. Generalized inverses and the maximal radius of regularity of a Fredholm operator. https://arxiv.org/abs/funct-an/9612007

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