Ascent, descent and compact perturbations
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- by Sandy Grabiner PDF
- Proc. Amer. Math. Soc. 71 (1978), 79-80 Request permission
Abstract:
The collections of upper semi-Fredholm operators with finite ascent and of lower semi-Fredholm operators with finite descent are both closed under commuting compact perturbations.References
- S. R. Caradus, W. E. Pfaffenberger, and Bertram Yood, Calkin algebras and algebras of operators on Banach spaces, Lecture Notes in Pure and Applied Mathematics, Vol. 9, Marcel Dekker, Inc., New York, 1974. MR 0415345
- M. A. Kaashoek and D. C. Lay, Ascent, descent, and commuting perturbations, Trans. Amer. Math. Soc. 169 (1972), 35–47. MR 312299, DOI 10.1090/S0002-9947-1972-0312299-8
- Bertram Yood, Properties of linear transformations preserved under addition of a completely continuous transformation, Duke Math. J. 18 (1951), 599–612. MR 44020
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 71 (1978), 79-80
- MSC: Primary 47A53; Secondary 47A55
- DOI: https://doi.org/10.1090/S0002-9939-1978-0495841-7
- MathSciNet review: 495841