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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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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
  • A. P. Robertson and Wendy Robertson, Topological vector spaces, 2nd ed., Cambridge Tracts in Mathematics and Mathematical Physics, No. 53, Cambridge University Press, London-New York, 1973. MR 0350361
  • Ju. N. Vladimirskiĭ, Bounded perturbations of $\Phi$-operators in locally convex spaces, Dokl. Akad. Nauk SSSR 196 (1971), 263–265 (Russian). MR 0273457
  • Ju. N. Vladimirskiĭ, Compact perturbations of $\Phi$-operators in locally convex spaces, Sibirsk. Mat. Ž. 14 (1973), 738–759, 909 (Russian). MR 0634980
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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