New examples of c₀-saturated Banach spaces

2008/09/10 by I. Gasparis, Gasparis, Ioannis
Mathematics · #46B03 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.0809.1808

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

Abstract

For every 1 < p < ∞ an isomorphically polyhedral Banach space E_p is constructed having an unconditional basis and admitting a quotient isomorphic to ℓ_p. It is also shown that E_p is not isomorphic to a subspace of a C(K) space for every countable and compact metric space K.

Citations

• Complexity of weakly null sequences

Related

• New examples of c₀-saturated Banach spaces II
• On c₀-saturated Banach spaces
• Some isomorphically polyhedral Orlicz sequence spaces
• Some stability properties of c₀-saturated spaces
• A c₀ saturated Banach space with tight structure