ArticleOriginal scientific text
Title
On the joint spectral radius of a nilpotent Lie algebra of matrices
Authors 1
Affiliations
- Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I 1428 Buenos Aires, República Argentina
Abstract
For a complex nilpotent finite-dimensional Lie algebra of matrices, and a Jordan-Hölder basis of it, we prove a spectral radius formula which extends a well-known result for commuting matrices.
Keywords
Taylor spectrum, joint spectral radius, nilpotent Lie algebras
Bibliography
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Pages:
15-27
Main language of publication
English
Received
1997-06-27
Accepted
1998-04-20
Published
1999
Exact and natural sciences