A local form for the automorphisms of the spectral unit ball

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dc.creatorThomas, Pascal J.
dc.date2008-01-22
dc.date.accessioned2026-07-07T08:55:51Z
dc.date.available2026-07-07T08:55:51Z
dc.descriptionIf 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0801.3396
dc.identifierhttp://arxiv.org/abs/0801.3396
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146409
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject32H02 (Primary); 32A07, 15A21 (Secondary)
dc.titleA local form for the automorphisms of the spectral unit ball
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