Artículo
Boasso, E. "On the joint spectral radius of a nilpotent Lie algebra of matrices" (1999) Studia Mathematica. 132(1):15-27
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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.
Registro:
| Documento: | Artículo |
| Título: | On the joint spectral radius of a nilpotent Lie algebra of matrices |
| Autor: | Boasso, E. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina |
| Palabras clave: | Joint spectral radius; Nilpotent Lie algebras; Taylor spectrum |
| Año: | 1999 |
| Volumen: | 132 |
| Número: | 1 |
| Página de inicio: | 15 |
| Página de fin: | 27 |
| DOI: | http://dx.doi.org/10.4064/sm-132-1-15-27 |
| Título revista: | Studia Mathematica |
| Título revista abreviado: | Stud. Math. |
| ISSN: | 00393223 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v132_n1_p15_Boasso |
Referencias:
- Bhatia, R., Bhattacharyya, T., On the joint spectral radius of commuting matrices (1995) Studia Math., 114, pp. 29-38
- Boasso, E., Dual properties and joint spectra for solvable Lie algebras of operators (1995) J. Operator Theory, 33, pp. 105-116
- Joint spectra and nilpotent Lie algebras of linear transformations (1997) Linear Algebra Appl., 263, pp. 49-62
- Boasso, E., Larotonda, A., A spectral theory for solvable Lie algebras of operators (1993) Pacific J. Math., 158, pp. 15-22
- Bourbaki, N., (1960) Éléments de Mathématique, Groupes et Algèbres de Lie, Algèbres de Lie Fasc. XXVI, , Hermann
- Cho, M., Huruya, T., On the joint spectral radius (1991) Proc. Roy. Irish Acad. Sect. A, 91, pp. 39-44
- Cho, M., Takaguchi, M., Identity of Taylor's joint spectrum and Dash's joint spectrum (1982) Studia Math., 70, pp. 225-229
- Jacobson, N., (1962) Lie Algebras, , Interscience Publ
- McIntosh, A., Pryde, A., Ricker, W., Comparison of joint spectra for certain classes of commuting opertors (1988) Studia Math., 88, pp. 23-36
- Ott, C., A note on a paper of E. Boasso and A. Larotonda (1996) Pacific J. Math., 173, pp. 173-179
- Słodkowski, Z., An infinite family of joint spectra (1973) Studia Math., 61, pp. 239-1235
- Taylor, J.L., A joint spectrum for several commuting operators (1970) J. Funct. Anal., 6, pp. 172-191
Citas:
---------- APA ----------
(1999) . On the joint spectral radius of a nilpotent Lie algebra of matrices. Studia Mathematica, 132(1), 15-27.http://dx.doi.org/10.4064/sm-132-1-15-27
---------- CHICAGO ----------
Boasso, E. "On the joint spectral radius of a nilpotent Lie algebra of matrices" . Studia Mathematica 132, no. 1 (1999) : 15-27.http://dx.doi.org/10.4064/sm-132-1-15-27
---------- MLA ----------
Boasso, E. "On the joint spectral radius of a nilpotent Lie algebra of matrices" . Studia Mathematica, vol. 132, no. 1, 1999, pp. 15-27.http://dx.doi.org/10.4064/sm-132-1-15-27
---------- VANCOUVER ----------
Boasso, E. On the joint spectral radius of a nilpotent Lie algebra of matrices. Stud. Math. 1999;132(1):15-27.http://dx.doi.org/10.4064/sm-132-1-15-27
