English

A noncommutative version of the John-Nirenberg theorem

Functional Analysis 2007-05-23 v2 Operator Algebras

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 BMOBMO space.

Keywords

Cite

@article{arxiv.math/0410121,
  title  = {A noncommutative version of the John-Nirenberg theorem},
  author = {Marius Junge and Magdalena Musat},
  journal= {arXiv preprint arXiv:math/0410121},
  year   = {2007}
}

Comments

32 pages

R2 v1 2026-07-22T17:10:44.923Z