Maximal inequalities in quantum probability spaces
Functional Analysis
2021-07-23 v2 Operator Algebras
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.
Keywords
Cite
@article{arxiv.2004.10259,
title = {Maximal inequalities in quantum probability spaces},
author = {Gh. Sadeghi and M. S. Moslehian and A. Talebi},
journal= {arXiv preprint arXiv:2004.10259},
year = {2021}
}
Comments
16 pages, major revision: We simplify the proofs and removed the notion of joint independence