On a generalized punctured neighborhood theorem in $\mathcal {L}(X)$
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- by Christoph Schmoeger PDF
- Proc. Amer. Math. Soc. 123 (1995), 1237-1240 Request permission
Abstract:
Suppose that T is a bounded linear operator on a complex Banach space X. If ${T^2}(X)$ is closed, $T(X) \cap N(T)$ is finite dimensional, and S is a bounded linear operator on X such that S is invertible, commutes with T, and has sufficiently small norm, then $T - S$ is upper semi-Fredholm.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1237-1240
- MSC: Primary 47A53; Secondary 47A10
- DOI: https://doi.org/10.1090/S0002-9939-1995-1211590-1
- MathSciNet review: 1211590