Perturbation theory for Hermitian matrix-functions based on vector-fields

2018/11/20 by Carlsson, Marcus
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1811.08358

Abstract

We consider "spectral" matrix-functions for Hermitian matrices, where the novelty is that the function applied to the spectrum is allowed to be a vector-field rather than a scalar function (a.k.a isotropic matrix functions). We prove first order approximation formulas, generalizing the classical Daleskii-Krein theorem, as well as Lipschitz estimates.

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