Approximation of biholomorphic mappings by automorphisms of Cn.

Jean-Pierre Rosay; Franc Forstneric

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Approximation of biholomorphic mappings by automorphisms of Cn (Erratum).

Jean-Pierre Rosay, Franc Forsternic (1994)

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On the group of holomorphic automorphisms of Cn.

László Lempert, Erik Andersén (1992)

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Approximation by automorphisms on smooth submanifolds of C...

Franc Forstneric (1994)

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Mixing automorphisms of compact groups and a theorem of Schlickewei.

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On the automorphisms of the spectral unit ball

Jérémie Rostand (2003)

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Let Ω be the spectral unit ball of Mₙ(ℂ), that is, the set of n × n matrices with spectral radius less than 1. We are interested in classifying the automorphisms of Ω. We know that it is enough to consider the normalized automorphisms of Ω, that is, the automorphisms F satisfying F(0) = 0 and F'(0) = I, where I is the identity map on Mₙ(ℂ). The known normalized automorphisms are conjugations. Is every normalized automorphism a conjugation? We show that locally, in a neighborhood of a...