Article ID Journal Published Year Pages File Type
5774590 Journal of Mathematical Analysis and Applications 2017 13 Pages PDF
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-LozanovskiÄ­ spaces, Orlicz-Lorentz spaces and Musielak-Orlicz spaces with such copies.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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