On the joint spectral radius of a nilpotent Lie algebra of matrices
Studia Mathematica, Tome 132 (1999) no. 1, pp. 15-27
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
Affiliations des auteurs :
Enrico Boasso 1
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author = {Enrico Boasso},
title = {On the joint spectral radius of a nilpotent {Lie} algebra of matrices},
journal = {Studia Mathematica},
pages = {15--27},
publisher = {mathdoc},
volume = {132},
number = {1},
year = {1999},
doi = {10.4064/sm-132-1-15-27},
language = {en},
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TY - JOUR AU - Enrico Boasso TI - On the joint spectral radius of a nilpotent Lie algebra of matrices JO - Studia Mathematica PY - 1999 SP - 15 EP - 27 VL - 132 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-132-1-15-27/ DO - 10.4064/sm-132-1-15-27 LA - en ID - 10_4064_sm_132_1_15_27 ER -
Enrico Boasso. On the joint spectral radius of a nilpotent Lie algebra of matrices. Studia Mathematica, Tome 132 (1999) no. 1, pp. 15-27. doi: 10.4064/sm-132-1-15-27
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