New examples of c₀-saturated Banach spaces II

2008/09/10 by I. Gasparis, Gasparis, Ioannis
Mathematics · #46B03 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.0809.1689

openalex publication_date 2008/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For every Banach space Z with a shrinking unconditional basis satisfying upper p-estimates for some p > 1, an isomorphically polyhedral Banach space is constructed having an unconditional basis and admitting a quotient isomorphic to Z.

Citations

• Complexity of weakly null sequences

Related

• New examples of c₀-saturated Banach spaces
• On c₀-saturated Banach spaces
• On quotients of Banach spaces having shrinking unconditional bases
• A c₀ saturated Banach space with tight structure
• Some stability properties of c₀-saturated spaces