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dc.contributor.authorMontgomery-Smith, Stephen, 1963-eng
dc.contributor.authorLatushkin, Yuri, 1956-eng
dc.descriptionThe final version of this paper appears in: "Bulletin of the American Mathematical Society" 31 (1994): 44-49. Print.eng
dc.description.abstractWe present a spectral mapping theorem for semigroups on any Banach space E. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for E-valued functions. This characterization is given in terms of the spectrum of the generator of the semigroup of evolutionary operators.eng
dc.relation.ispartofMathematics publications (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematicseng
dc.subjectEvolution familyeng
dc.subjectWeighted composition operatorseng
dc.subject.lcshComposition operatorseng
dc.titleLyapunov theorems for Banach spaceseng

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