A local form for the automorphisms of the spectral unit ball
Complex Variables
2008-01-23 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.0801.3396,
title = {A local form for the automorphisms of the spectral unit ball},
author = {Pascal J. Thomas},
journal= {arXiv preprint arXiv:0801.3396},
year = {2008}
}
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4 pages