The spectral and Fredholm theory of extensions of bounded linear operators
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- by Bruce A. Barnes PDF
- Proc. Amer. Math. Soc. 105 (1989), 941-949 Request permission
Abstract:
Assume $T$ is a bounded linear operator on some Banach space $Y$, and that $T$ has a bounded extension $\bar T$ on another space. In general almost nothing can be said concerning the relationship between the spectral and Fredholm properties of $T$ and $\bar T$. However, assuming the special condition that the range of $\bar T$ lies in $Y$, it is shown that these properties are essentially the same for $T$ and $\bar T$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 941-949
- MSC: Primary 47A20; Secondary 47A10, 47A53, 47B38
- DOI: https://doi.org/10.1090/S0002-9939-1989-0955454-4
- MathSciNet review: 955454