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Buch. Zustand: Neu. Neuware -The asymptotic behaviour, in particular 'stability' in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 216 pp. Englisch.