On subspaces isomorphic to lq in interpolation of quasi Banach spaces
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.
Anahtar Kelimeler:
real interpolation method, quasi Banach spaces.
On subspaces isomorphic to lq in interpolation of quasi Banach spaces
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.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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