×

zbMATH — the first resource for mathematics

The single valued extension property and the generalized Kato decomposition property. (English) Zbl 1017.47008
Summary: This paper concerns the single valued extension property of a bounded operator \(T\in L(X)\) on a Banach space \(X\). We shall be mostly interested in a local version of this property, the single valued extension property at a point \(\lambda_0\in \mathbb C\), in the case that \(T\) admits a generalized Kato decomposition property.

MSC:
47A53 (Semi-) Fredholm operators; index theories
47A55 Perturbation theory of linear operators
PDF BibTeX XML Cite