Generalized inverses and the maximal radius of regularity of a Fredholm operator |
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| Authors: | Catalin Badea Mostafa Mbekhta |
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| Institution: | (1) URA D751 au CNRS & UFR de Mathématiques, Université de Lille I, F-59655 Villeneuve d'Ascq, France;(2) Université de Galatasaray, Çiragan Cad no 102 Ortakoy, 80840 Istanbul, Turkey |
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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 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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| Keywords: | 47A10 47A05 47A53 |
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