Kernels of operators on Banach spaces induced by almost disjoint families

Bence Horváth, Niels Jakob Laustsen

Let~$\mathcal{A}$ be an almost disjoint family of subsets of an infinite set~$\Gamma$, and denote by~$X_{\mathcal{A}}$ the closed subspace of~${\ell }_{\infty }(\Gamma )$ spanned by the indicator f…