Duality and Kato’s theorem on small perturbations
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- Bull. Amer. Math. Soc. 82 (1976), 896-898
References
- Marc De Wilde and Le Quang Chu, Perturbation of maps in locally convex spaces, Math. Ann. 215 (1975), 215–233. MR 473887, DOI 10.1007/BF01343891 2. I. C. Gohberg and M. G. Kreĭn, The basic propositions on defect numbers, root numbers and indices of linear operators, Uspehi Mat. Nauk 12 (1957), no. 2 (74), 43—118; English transl., Amer. Math. Soc. Transl. (2) 13 (1960), 185-264. MR 20 #3459; 22 #3984.
- Tosio Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Analyse Math. 6 (1958), 261–322. MR 107819, DOI 10.1007/BF02790238 4. Le Quang Chu, Bounded perturbations of Φ, Bull. Soc. Roy. Sci. Liège 1-2 (1975), 28-35; addendum, ibid. 9-10 (1975), 537—539; corrigendum, ibid, (to appear).
- Le Quang Chu, A short proof of Vladimirskii’s theorem on precompact perturbations in locally convex spaces, Canad. Math. Bull. 18 (1975), no. 5, 649–655. MR 415367, DOI 10.4153/CMB-1975-114-5
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Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 896-898
- MSC (1970): Primary 47A55, 47B30
- DOI: https://doi.org/10.1090/S0002-9904-1976-14200-0
- MathSciNet review: 0435898