2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142920We list and discuss the background of some open problems, regarding the principle of local reflexivity for maximal Banach ideals.Functional AnalysisRings and Algebras46A32, 46M05, 47L20 (Primary); 46B07, 46B10, 46B28 (Secondary)A Short Note on some open problems in the geometry of operator idealstext