A noncommutative version of the John-Nirenberg theorem

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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.
32 pages

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Functional Analysis, Operator Algebras, 46L52 (primary), 60G46 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/100898

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410121
 http://arxiv.org/abs/math/0410121
 Trans. Amer. Math. Soc., Vol. 359, no.1 (2007), 115-142.

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