Abstract
Tools to estimate resolvents are developed and a model result is given for power bounded operators: the dimension showing up in the Kreiss matrix theorem can be replaced by the trace norm.
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Nevanlinna, O. Meromorphic resolvents and power bounded operators. Bit Numer Math 36, 531–541 (1996). https://doi.org/10.1007/BF01731932
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DOI: https://doi.org/10.1007/BF01731932