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Unconditional bases in lp⊕lq, 0 < p < q < 1 |
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| Authors: | Augustyn Ortynski |
| Institution: | Institute of Mathematics A. Mickiewicz University ul. Matejki 48/49 60-769 Poznan, Poland |
| Abstract: | 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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