Johnson–Schechtman inequalities in the free probability theory

We introduce and study a “free Kruglov operator”. As an application of this study, we prove an analogue of the Johnson–Schechtman inequalities in the setting of free probability theory and an arbitrary symmetric operator space. This extends and complements earlier Lp-results of Junge et al. (2007) [12]. © 2012 Elsevier Inc. All rights reserved.