Boasso, Enrico On the spectral set of a solvable Lie algebra of operators. (English) Zbl 0891.47005 Port. Math. 54, No. 1, 85-94 (1997). Summary: If \(L\) is a complex solvable finite-dimensional Lie algebra of operators acting on a Banach space \(E\), and \(\{x_i\}_{1\leq i\leq n}\) is a Jordan-Hölder basis of \(L\), we study the relation between \(\text{Sp}(L,E)\) and \(\prod \text{Sp}(x_i)\), when \(L\) is a nilpotent or a solvable Lie algebra. MSC: 47A13 Several-variable operator theory (spectral, Fredholm, etc.) 17B30 Solvable, nilpotent (super)algebras 17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.) Keywords:complex solvable finite-dimensional Lie algebra of operators; Jordan-Hölder basis; nilpotent; solvable Lie algebra PDFBibTeX XMLCite \textit{E. Boasso}, Port. Math. 54, No. 1, 85--94 (1997; Zbl 0891.47005) Full Text: arXiv EuDML