A class of Banach spaces with few non strictly singular operators

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69753We construct a family $(\mathcal{X}_\al)_{\al\le ω_1}$ of reflexive Banach spaces with long transfinite bases but with no unconditional basic sequences. In our spaces $\mathcal{X}_\al$ every bounded operator $T$ is split into its diagonal part $D_T$ and its strictly singular part $S_T$.52 pages, 1 figureFunctional AnalysisLogic46B20; 03E05A class of Banach spaces with few non strictly singular operatorstext