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Basic results on semigroups on banach spaces -- Characterization of semigroups on banach spaces -- Spectral theory -- Asymptotics of semigroups on banach spaces -- Basic results on spaces Co(X) -- Characterization of positive semigroups on Co(X) -- Spectral theory of positive semigroups on Co(X) -- Asymptotics of positive semigroups on Co(X) -- Basic results on banach lattices and positive operators -- Characterization of positive semigroups on banach lattices -- Spectral theory of positive semigroups on banach lattices -- Asymptotics of positive semigroups on banach lattices -- Basic results on semigroups and operator algebras -- Characterization of positive semigroups on w*-algebras -- Spectral theory of positive semigroups on w*-algebras and their preduals -- Asymptotics of positive semigroups on c*-and w*-algebras