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Generalized Exponential Trichotomies for Abstract Evolution Operators on the Real Line

Generalized Exponential Trichotomies for Abstract Evolution Operators on the Real Line

This paper considers two trichotomy concepts in the context of abstract evolution operators. The first one extends the notion of exponential trichotomy in the sense of Elaydi-Hajek for differential equations to abstract evolution operators, and it is a natural extension of the generalized exponential dichotomy considered in the paper by …