Generalized spectrum and a problem of Apostol
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- by Mostafa Mbekhta PDF
- Proc. Amer. Math. Soc. 118 (1993), 857-859 Request permission
Abstract:
We give a complete answer to a question of Apostol concerning the asymptotic behaviour of the reduced minimum modulus of a bounded operator on Hilbert space.References
- Constantin Apostol, The reduced minimum modulus, Michigan Math. J. 32 (1985), no. 3, 279–294. MR 803833, DOI 10.1307/mmj/1029003239
- Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
- Mostafa Mbekhta, Généralisation de la décomposition de Kato aux opérateurs paranormaux et spectraux, Glasgow Math. J. 29 (1987), no. 2, 159–175 (French). MR 901662, DOI 10.1017/S0017089500006807
- Mostafa Mbekhta, Résolvant généralisé et théorie spectrale, J. Operator Theory 21 (1989), no. 1, 69–105 (French). MR 1002122
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 857-859
- MSC: Primary 47A10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1145948-4
- MathSciNet review: 1145948