B-representability of hom(conv)

Determine whether the ideal hom(conv) generated by the convergence coloring is B-representable.

Background

The construction in Section 6 produces the B-ideal B(phom_0(conv)) and proves that it is not representable in c0. The corresponding ideal hom(conv) itself is not known to be a B-ideal.

References

Question 6.8. Is hom(conv) a B-ideal?

— $F_σ$-ideals, colorings, and representation in Banach spaces  (2501.15643 - Lopez-Abad et al., 26 Jan 2025) in Question 6.8, p. 35