Banach Spaces Of The Type Of Tsirelson

1992/07/06 by Spiros A. Argyros, Argyros, Spiros A., Irene Deliyanni +1 · 2 citations
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.math/9207206

openalex publication_date 1992/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

To any pair ( M , theta ) where M is a family of finite subsets of N compact in the pointwise topology, and 01/n then T_M^theta is reflexive. Moreover, if the Cantor-Bendixson index of M is greater than omega then T_M^theta does not contain any l^p, while if the Cantor-Bendixson index of M is finite thenT_M^theta contains some l^p or c_o . In particular, if M = A subset N : |A| leq n and 1/n

Cited by

• More (ℓ_r) saturated (L_∞) spaces
• Examples of asymptotically ℓ_¹ Banach spaces

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