Holomorphic Self-Maps of the Spectral unit Ball

DOI10.1112/blms/23.3.256zbMath0749.32018OpenAlexW2072299455MaRDI QIDQ3988543

Michael C. White, Thomas Ransford

Publication date: 28 June 1992

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/23.3.256

zbMATH Keywords

holomorphic mapspectral unit ballcomplex \(n\times n\) matrices

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (15)

The group of automorphisms of the spectral ball ⋮ On local irreducibility of the spectrum ⋮ A local form for the automorphisms of the spectral unit ball ⋮ Linear automorphisms of the pseudospectral unit ball ⋮ Proper holomorphic mappings of the spectral unit ball ⋮ A Cartan theorem for Banach algebras ⋮ Structure of the group of automorphisms of the spectral 2-ball ⋮ The fibred density property and the automorphism group of the spectral ball ⋮ Certain non-homogeneous matricial domains and Pick–Nevanlinna interpolation problem ⋮ A Cartan type theorem for finite-dimensional algebras ⋮ Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem ⋮ The 3-point spectral Pick interpolation problem and an application to holomorphic correspondences ⋮ On a spectral version of Cartan's theorem ⋮ Spectral characterization of the Jordan form ⋮ Spectral characterization of the radical in Banach and Jordan–Banach algebras

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