This is an announcement for the paper "A noncommutative version of the John-Nirenberg theorem" by Marius Junge and Magdalena Musat.

Abstract: We 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.

Archive classification: Functional Analysis; Operator Algebras

Remarks: 35 pages

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Submitted from: mmusat@math.ucsd.edu

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