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SYMMETRIC SEQUENCE SUBSPACES OF C(α)

Published online by Cambridge University Press:  01 June 1999

DENNY H. LEUNG
DENNY H. LEUNG
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 119260, matlhh@math.nus.sg
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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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 1049 - 1063
Copyright
The London Mathematical Society 1999

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