Noncommutative strong maximals and almost uniform convergence in several directions

Our first result is a noncommutative form of the Jessen-Marcinkiewicz-Zygmund theorem for the maximal limit of multiparametric martingales or ergodic means. It implies bilateral almost uniform convergence (a noncommutative analogue of almost everywhere convergence) with initial data in the expected...

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Bibliographic Details
Main Authors: José M. Conde-Alonso, Adrián M. González-Pérez, Javier Parcet
Format: Article
Language:English
Published: Cambridge University Press 2020-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509420000377/type/journal_article