Proximity to ℓ₁ and Distortion in Asymptotic ℓ₁ Spaces

1997/04/09 by Edward Odell, Odell, Edward, Nicole Tomczak-Jaegermann +3
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/9704214

openalex publication_date 1997/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For an asymptotic ℓ₁ space X with a basis (x_i) certain asymptotic ℓ₁ constants, δ_α(X) are defined for α

Citations

• Complexity of weakly null sequences
• The distortion problem
• Distorting Mixed Tsirelson Spaces

Related

• Note on distortion and Bourgain ℓ₁ index
• Examples of asymptotically ℓ_¹ Banach spaces
• On the hereditary proximity to ℓ₁
• Operators on (C[0,1]) preserving copies of asymptotic (ℓ₁) spaces
• On strongly asymptotic ℓ_p spaces and minimality