Proper holomorphic mappings of the spectral unit ball

2007/04/04 by Wlodzimierz Zwonek, Zwonek, Wlodzimierz
Mathematics · #32H35 #Complex Variables (math.CV) #FOS: Mathematics #Spectral Theory (math.SP) #math.CV #math.SP #msc:32H35

paper · pdf · doi:10.48550/arxiv.0704.0614

6 pages

arxiv created 2007/06/14 · arxiv updated 2009/12/01

Abstract

We prove an Alexander type theorem for the spectral unit ball Ω_n showing that there are no non-trivial proper holomorphic mappings in Ω_n, n≥ 2.

Related

• Proper holomorphic maps from the unit disk to some unit ball
• Sharp Schwarz-type lemmas for the spectral unit ball
• Local automorphisms of the Hilbert ball
• Proper holomorphic self-maps of symmetric powers of balls
• Holomorphic maps from the complex unit ball to Type IV classical domains