Aiena, Pietro; Monsalve, Osmin The single valued extension property and the generalized Kato decomposition property. (English) Zbl 1017.47008 Acta Sci. Math. 67, No. 3-4, 791-807 (2001). 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. Cited in 22 Documents MSC: 47A53 (Semi-) Fredholm operators; index theories 47A55 Perturbation theory of linear operators Keywords:extension property; Banach space PDF BibTeX XML Cite \textit{P. Aiena} and \textit{O. Monsalve}, Acta Sci. Math. 67, No. 3--4, 791--807 (2001; Zbl 1017.47008)