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SYMMETRIC SEQUENCE SUBSPACES OF C(α)
Published online by Cambridge University Press: 01 June 1999
Abstract
Two main results are shown: (1) a characterisation of the symmetric sequence spaces which embed into C(ωω), and (2) a characterisation, in terms of the Orlicz function M, of the Orlicz sequence spaces hM which embed into C(K) for some countable compact Hausdorff space K. The proofs make use of the Schreier families of sets, which have found wide applications in Banach space theory.
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- The London Mathematical Society 1999
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