Lattice Banach spaces, order-isomorphic to l1
It is known, (see [7], theorem 4 or [8], corollary II, 10.1), that a positive generated, ordered Banach space X is order-isomorphic to l1 iff X has a Schauder basis which generates its positive cone X+ and X+ has a bounded base.
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 1983-11, Vol.94 (3), p.519-522 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | It is known, (see [7], theorem 4 or [8], corollary II, 10.1), that a positive generated, ordered Banach space X is order-isomorphic to l1 iff X has a Schauder basis which generates its positive cone X+ and X+ has a bounded base. |
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| ISSN: | 0305-0041 1469-8064 |
| DOI: | 10.1017/S0305004100000906 |