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https://scholarbank.nus.edu.sg/handle/10635/104237
| Title: | Symmetric sequence subspaces of C(α) | Authors: | Leung, D.H. | Issue Date: | Jun-1999 | Citation: | Leung, D.H. (1999-06). Symmetric sequence subspaces of C(α). Journal of the London Mathematical Society 59 (3) : 1049-1063. ScholarBank@NUS Repository. | 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. | Source Title: | Journal of the London Mathematical Society | URI: | http://scholarbank.nus.edu.sg/handle/10635/104237 | ISSN: | 00246107 |
| Appears in Collections: | Staff Publications |
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