Dergiler / Turkish Journal of Mathematics / 2000 / Cilt: 24 - Sayı: 4
On subspaces isomorphic to lq in interpolation of quasi Banach spaces
- Sayfa
- 373–378
- DOI
- —
Özet
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.
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.