Perturbating Upper Semi-fredholm With Strictly Singular Operators
DOI:
https://doi.org/10.5644/SJM.02.1.06Keywords:
Upper semi-Fredholm operator, strictly singular operator, perturbation theory, index, connected setAbstract
Given an upper semi-Fredholm operator $L$, following the work of P. Cassaza and N. Kalton [1] and others, we introduce and study a set of upper semi-Fredholm operators having the same index as $L$ and which is invariant under strictly singular perturbations.
2000 Mathematics Subject Classification. 47A53, 47A55
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References
P. Casazza and N. Kalton, Generalizing the Paley-Wiener Perturbation Theory for Banach Spaces, Proc. Amer. Math. Soc., 127 (2), 1999, 519–527.
D. E. Edmunds and W. D. Evans, Spectral theory and differential operators, Clarendon Press, Oxford, 1987.
S. Goldberg, Unbounded Linear Operators, McGraw-Hill, New York, 1966.
S. H. Hilding, Note on completeness theorems of Paley-Wiener type, Annals Math., 49 (1948), 953–955.
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Published
12.06.2024
How to Cite
Galaz-Fontes, F. (2024). Perturbating Upper Semi-fredholm With Strictly Singular Operators. Sarajevo Journal of Mathematics, 2(1), 55–62. https://doi.org/10.5644/SJM.02.1.06
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