Journals / Turkish Journal of Mathematics / 2000 / Cilt: 24 - Sayı: 4

On subspaces isomorphic to $ell^q$ in interpolation of quasi Banach spaces

Pages
373–378
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We show that every sequence {in}^=1 in a real interpolation space (Eo,Ei)e,q, 0 0, has a subsequence which is equivalent to the standard unit basis of £q.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We show that every sequence {in}^=1 in a real interpolation space (Eo,Ei)e,q, 0 0, has a subsequence which is equivalent to the standard unit basis of £q.
📊
Key Findings & Data:We show that every sequence {in}^=1 in a real interpolation space (Eo,Ei)e,q, 0 0, has a subsequence which is equivalent to the standard unit basis of £q.
💡
Conclusion & Impact:We show that every sequence {in}^=1 in a real interpolation space (Eo,Ei)e,q, 0 0, has a subsequence which is equivalent to the standard unit basis of £q.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We show that every sequence {in}^=1 in a real interpolation space (Eo,Ei)e,q, 0 0, has a subsequence which is equivalent to the standard unit basis of £q.

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Cite This Article

MOLINA, J. L. (2022). On subspaces isomorphic to $ell^q$ in interpolation of quasi Banach spaces. Turkish Journal of Mathematics, Cilt: 24 - Sayı: 4, 373–378. https://ajindex.com/articles/608936

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References (4)

  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).