A hereditarily indecomposable L_\infty-space that solves the scalar-plus-compact problem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224352We construct a hereditarily indecomposable Banach space with dual isomorphic to $\ell_1$. Every bounded linear operator on this space has the form $λI+K$ with $λ$ a scalar and $K$ compact.Functional Analysis46B45A hereditarily indecomposable L_\infty-space that solves the scalar-plus-compact problemtext