Abstract
We investigate order asymptotically isometric copies of c0, l∞ and l1 in Köthe spaces. Firstly we prove a number of general relations between them and we discuss what happens with such copies while passing to Köthe dual spaces, or vice versa – passing to preduals. Finally, we apply the results to characterize certain classes of Köthe spaces as Orlicz spaces, Calderón–Lozanovskiĭ spaces, Orlicz–Lorentz spaces and Musielak–Orlicz spaces with such copies.
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