PORTUGALIAEMATHEMATICA
Vol. 54, No. 1, pp. 85-94 (1997)
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PORTUGALIAE MATHEMATICA Vol. 54, No. 1, pp. 85-94 (1997) |
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On the Spectral Set of a Solvable Lie Algebra of OperatorsEnrico BoassoDepart. de Matemática, Fac. de Ciencias Exactas y Naturales, Univ. de Buenos Aires,Ciudad Universitaria Pabellon I, 1428 Nu\ nez, Buenos Aires - REPUBLICA ARGENTINA Abstract: If $L$ is a complex solvable finite dimensional Lie Algebra of operators acting on a Banach space $E$, and $\{x_{i}\}_{1\le i\le n}$ is a Jordan-Hölder basis of $L$, we study the relation between $\Sp(L,E)$ and $\prod\Sp(x_{i})$, when $L$ is a nilpotent or a solvable Lie algebra. Keywords: Taylor spectrum; solvable Lie algebras of operators. Classification (MSC2000): 47A13, 17B30 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1997 Sociedade Portuguesa de Matemática
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