Perturbation results for exponentially dichotomous operators on general Banach spaces

摘要

Some perturbation results for exponentially dichotomous operators are applied to prove the existence of stable and anti-stable solutions of Riccati equations associated to block operators on general Banach spaces, both for compact perturbations and for bisemigroups made tip of immediately norm continuous semigroups. (C) 2003 Elsevier Inc. All rights reserved.