Maximal inequalities in quantum probability spaces
arXiv:2004.10259 · doi:10.1080/17442508.2021.1916021
Abstract
We employ some techniques involving projections in a von Neumann algebra to establish some maximal inequalities such as the strong and weak symmetrization, Levy, Levy-Skorohod, and Ottaviani inequalities in the realm of the quantum probability spaces.
16 pages, major revision: We simplify the proofs and removed the notion of joint independence