Unconditional bases in lp⊕lq, 0 < p < q < 1
We prove that every unconditional basis of lp⊕lq (0 < p < q < 1) is a disjoint union of two subsequences which span subspaces isomorphic to lp and lq respectively. This is an extension of a similar result of EDELSTEIN and WOJTASZCZYK [3] for 1 ≦ p < q
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| Veröffentlicht in: | Mathematische Nachrichten 1981, Vol.103 (1), p.109-116 |
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| container_end_page | 116 |
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| container_issue | 1 |
| container_start_page | 109 |
| container_title | Mathematische Nachrichten |
| container_volume | 103 |
| creator | Ortynski, Augustyn |
| description | We prove that every unconditional basis of lp⊕lq (0 < p < q < 1) is a disjoint union of two subsequences which span subspaces isomorphic to lp and lq respectively. This is an extension of a similar result of EDELSTEIN and WOJTASZCZYK [3] for 1 ≦ p < q |
| doi_str_mv | 10.1002/mana.19811030108 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0025-584X |
| ispartof | Mathematische Nachrichten, 1981, Vol.103 (1), p.109-116 |
| issn | 0025-584X 1522-2616 |
| language | eng |
| recordid | cdi_wiley_primary_10_1002_mana_19811030108_MANA19811030108 |
| source | Wiley Online Library Journals Frontfile Complete |
| title | Unconditional bases in lp⊕lq, 0 < p < q < 1 |
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