Sum of Free Variables in Fully Symmetric Spaces
Operator Algebras
2021-01-13 v4 Functional Analysis
Abstract
We give a method to obtain, from Voiculescu's inequality, norm estimates for sums of free variables with amalgamation in general fully symmetric spaces. We use these estimates to interpolate the Burkholder inequalities for non commutative martingales. The method is also applicable to other similar settings. In that spirit, we improve known results on the non commutative Johnson-Schechtman inequalities and recover Khintchine inequalities associated to free groups.
Keywords
Cite
@article{arxiv.1911.06180,
title = {Sum of Free Variables in Fully Symmetric Spaces},
author = {Léonard Cadilhac and Eric Ricard},
journal= {arXiv preprint arXiv:1911.06180},
year = {2021}
}
Comments
17 pages