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math.FA2023
Linearization and Lemma of Newton for Operator functions
Matthias Stiefenhofer
We study the action of the nonlinear mapping G[z] between real or complex Banach spaces in the vicinity of a given curve with respect to possible linearization, emerging patterns o…
math.AG2023
Formal and Analytic Diagonalization of Operator functions
Matthias Stiefenhofer
We give conditions for local diagonalization of analytic operator families acting between real or complex Banach spaces. The transformations are constructed from an operator Toepli…