Nonuniform behavior and robustness (Q1018376)

The authors establish robustness of linear cocycles in Banach spaces admitting nonuniform exponential dichotomies. They obtain robustness in \({\mathbb Z}\) via projections on stable and unstable subspaces. In general, these projections do not have to coincide with those obtained from robustness for positive and negative time. They also discuss the case of strong nonuniform exponential dichotomies.