A local form for the automorphisms of the spectral unit ball
- Autores: Pascal J. Thomas
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 59, Fasc. 3, 2008, págs. 321-324
- Idioma: inglés
- DOI: 10.1007/bf03191190
- Enlaces
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Resumen
If F is an automorphism of ?_n, the n^2-dimensional spectral unit ball, we show that, in a neighborhood of any cyclic matrix of ?_n, the map F can be written as conjugation by a holomorphically varying non singular matrix. This provides a shorter proof of a theorem of J. Rostand, with a slightly stronger result.
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