A noncommutative version of the John-Nirenberg theorem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100898We prove a noncommutative version of the John-Nirenberg theorem for nontracial filtrations of von Neumann algebras. As an application, we obtain an analogue of the classical large deviation inequality for elements of the associated $BMO$ space.32 pagesFunctional AnalysisOperator Algebras46L52 (primary), 60G46 (secondary)A noncommutative version of the John-Nirenberg theoremtext