Exponential dichotomy roughness on Banach spaces

In the present paper we extend existing results on exponential dichotomy roughness for linear ODE systems to infinite dimensional Banach space. We give new conditions for the existence of exponential dichotomy roughness in infinite dimensional space and in the finite interval case.We also improve previous results by indicating the exact values of the dichotomic constants of the perturbed equation.  2005 Elsevier Inc. All rights reserved