On the spectral set of a solvable Lie algebra of operators

Abstract

Given $L$ a complex solvable finite dimensional Lie Algebra of operators acting on a Banach space $E$ and $\{x_i{\}}_{1\le i\le n}$ a Jordan-Hölder basis of $L$, we study the relation between $Sp(L,E)$ and $\Pi Sp(x_i)$.

arXiv comment8 pages, original research article