On subspaces isomorphic to $ell^q$ in interpolation of quasi Banach spaces
On subspaces isomorphic to $ell^q$ in interpolation of quasi Banach spaces
We show that every sequence {in}^=1 in a real interpolation space (Eo,Ei)e,q, 0 < 9 < 1, 0 < q < oo, of quasi Banach spaces Eo,Ei, which is 0—convergent in Eo + Ei but infn ||;En||(.E0,.E1)e > 0, has a subsequence which is equivalent to the standard unit basis of £q.
___
- [1] Beauzamy, B.: Espaces d'Interpolation Reels: Topologie et Geometrie. Lecture Notes in Mathematics 666. Springer Verlag. Berlin. 1978.
- [2] Jarchow, H.: Locally Convex Spaces. B. G. Teubner. Stuttgart. 1981.
- [3] Levy, M.: L'espace d' interpolation reel $(A_o, A_1)_{theta,p}$ contient $ell_p$. C. R. Acad. Sci. Paris, Ser. A, 289, 675-677, 1979.
- [4] Sagher, Y.: Interpolation of r-Banach spaces, Stud. Math. 41, 1, 45-70, (1972).
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
A Borsuk-Ulak Theorem for Heisenberg Group Actions
Some Radius Problem for Certain Families of Analytic Functions
On subspaces isomorphic to lq in interpolation of quasi Banach spaces
On Conjugation in the Mod-p Steenrod algebra
İlkay Yaslan KARACA, İsmet KARACA
Aysel Turgut VANLI, Ayşe ALTIN
On the Linearity of Certain Mapping Class Groups
New and Old Types of Homogeneity