Extensions of c₀

1996/12/27 by Johnson, William B.
#46B30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/9612209

Abstract

If X is a closed subspace of a Banach space L which embeds into a Banach lattice not containing ℓ_∞ⁿ's uniformly and L/X contains ℓ_∞ⁿ's uniformly, then X cannot have local unconditional structure in the sense of Gordon-Lewis (GL-\sl l.u.st.).

Related

• The solution to the Maurey extension problem for Banach spaces with the Gordon Lewis property and related structures
• Coarse embeddings into c₀(Γ)
• Embedding Banach spaces into the space of bounded functions with\n countable support
• A remark about distortion
• Banach spaces without local unconditional structure