A local form of automorphisms of the spectral unit ball

2012/02/26 by Łukasz Kosiński, Lukasz Kosinski, Kosinski, Lukasz
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals #math.CV

paper · pdf · doi:10.48550/arxiv.1202.5793

This is a draft version, 9 pages, some mistakes were corrected

openalex publication_date 2012/02/26 · arxiv created 2012/06/06 · arxiv updated 2012/06/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the group generated by by triangular and diagonal conjugations is dense in \aut(Ω₂) (in the local-uniform topology). Moreover, it is shown that any automorphism of Ω₂ is a local holomorphic conjugation.

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