Geometry of Banach spaces and biorthogonal systems

1999/11/20 by S. J. Dilworth, Dilworth, S. J., Maria Girardi +4
Computer Science · Mathematics · #46B20 (primary) 46B25 #46B99 (secondary) #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Optimization and Variational Analysis #math.FA #msc:46B20 #msc:46B25 #msc:46B99

paper · pdf · doi:10.48550/arxiv.math/9911156

arxiv created 1999/11/20 · openalex publication_date 1999/11/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A separable Banach space X contains ℓ₁ isomorphically if and only if X has a bounded wc₀^*-stable biorthogonal system. The dual of a separable Banach space X fails the Schur property if and only if X has a bounded wc₀^*-biorthogonal system.

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