The principal axis theorem for holomorphic functions

Gräter, Joachim; Klein, Markus

doi:10.1090/S0002-9939-99-05451-9

The principal axis theorem for holomorphic functions
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by Joachim Gräter and Markus Klein PDF

Proc. Amer. Math. Soc. 128 (2000), 325-335 Request permission

Abstract:

An algebraic approach to Rellich’s theorem is given which states that any analytic family of matrices which is normal on the real axis can be diagonalized by an analytic family of matrices which is unitary on the real axis. We show that this result is a special version of a purely algebraic theorem on the diagonalization of matrices over fields with henselian valuations.

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