Perturbation results for exponentially dichotomous operators on general Banach spaces
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چکیده
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 up of immediately norm continuous semigroups. r 2003 Elsevier Inc. All rights reserved.
منابع مشابه
Additive and Multiplicative Perturbations of Exponentially Dichotomous Operators on General Banach Spaces
Recent perturbation results for exponentially dichotomous operators are generalized, in part by replacing compactness conditions on the perturbation by resolvent compactness. Both additive and multiplicative perturbations are considered. Mathematics Subject Classification (2000). Primary 47D06; Secondary 47A55.
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تاریخ انتشار 2004