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Some structural properties of vector valued Orlicz sequence space. (English) Zbl 1156.46300
Summary: We introduce the vector valued sequence space \(F(X_{k},M, p, s)\) and study its closed subspaces. We examine various algebraic and topological properties of this space and also investigate some inclusion relations.

MSC:
46A45 Sequence spaces (including Köthe sequence spaces)
40D25 Inclusion and equivalence theorems in summability theory
46A35 Summability and bases in topological vector spaces
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