On spaces admitting no ℓ_p or c₀ spreading model

2011/11/21 by Spiros A. Argyros, Argyros, Spiros A., Kevin Beanland +1
Mathematics · #46B06 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #math.FA #msc:46B06

paper · pdf · doi:10.48550/arxiv.1111.4714

17 pages

arxiv created 2011/11/21 · openalex publication_date 2011/11/21 · arxiv updated 2011/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that for each separable Banach space X not admitting ℓ₁ as a spreading model there is a space Y having X as a quotient and not admitting any ℓ_p for 1 ≤ p < ∞ or c₀ as a spreading model. We also include the solution to a question of W.B. Johnson and H.P. Rosenthal on the existence of a separable space not admitting as a quotient any space with separable dual.

Citations

• On the hereditary proximity to ℓ₁
• Finite order spreading models

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