Lee, Woo Young; Lee, Hong Youl On Weyl’s theorem. (English) Zbl 0814.47002 Math. Jap. 39, No. 3, 545-548 (1994). Summary: Let \(X\) be a complex Banach space. If \(T\in {\mathcal B}(X)\) is simply polar and if for each finite-dimensional eigenspace \(M\) there is an invariant subspace of \(T\) that is complementary to \(M\), then Weyl’s Theorem holds for \(T\) in the regular region. Cited in 1 ReviewCited in 1 Document MSC: 47A10 Spectrum, resolvent 47A15 Invariant subspaces of linear operators Keywords:regular operators; simply polar operators; invariant subspace; Weyl’s Theorem PDF BibTeX XML Cite \textit{W. Y. Lee} and \textit{H. Y. Lee}, Math. Japon. 39, No. 3, 545--548 (1994; Zbl 0814.47002)