- Turkish Journal of Mathematics
- Vol: 24 Issue: 4
- On subspaces isomorphic to lq in interpolation of quasi Banach spaces
On subspaces isomorphic to lq in interpolation of quasi Banach spaces
Authors : J. A. López Molina
Pages : 373-378
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We show that every sequence \{xn\}n=1\infty in a real interpolation space (E0,E1)q,q, 0 < q < 1, 0 < q < \infty, of quasi Banach spaces E0,E1, which is 0-convergent in E0 + E1 but \infn \;\|xn\|(E0,E1)q,q > 0, has a subsequence which is equivalent to the standard unit basis of \ellq.Keywords : real interpolation method, quasi Banach spaces.