A local form for the automorphisms of the spectral unit ball

Details A local form for the automorphisms of the spectral unit ball A local form for the automorphisms of the spectral unit ball

2008-01-22

arxiv.org/abs/0801.3396v1

Mathematics

Complex Variables

4 pages

Scientific paper

If F is an automorphism of the spectral unit ball, we show that, in a
neighborhood of any cyclic (i.e. non-derogatory) matrix of the ball, 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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