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Proper holomorphic mappings of the spectral unit ball. (English) Zbl 1156.32007

Author’s abstract: We prove an Alexander type theorem for the spectral unit ball \(\Omega_{n}\) showing that there are no non-trivial proper holomorphic mappings in \(\Omega_{n}\), \(n \geq 2\).

MSC:

32H35 Proper holomorphic mappings, finiteness theorems
15A18 Eigenvalues, singular values, and eigenvectors
32C25 Analytic subsets and submanifolds
47N99 Miscellaneous applications of operator theory

References:

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