Examples of asymptotically ℓ_¹ Banach spaces

1994/07/22 by Spiros A. Argyros, Argyros, Spiros A., Irene Deliyanni +1
Mathematics · #46B20 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/9407210

openalex publication_date 1994/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two examples of asymptotic ℓ₁ Banach spaces are given. The first, X_u, has an unconditional basis and is arbitrarily distortable. The second, X, does not contain any unconditional basic sequence. Both are spaces of the type of Tsirelson. We thus answer a question raised by W.T.Gowers.

Citations

• Banach Spaces Of The Type Of Tsirelson
• A remark about distortion

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• On Asymptotically Symmetric Banach Spaces
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