J. A. LÓPEZ MOLINA

10589

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.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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