This is an announcement for the paper “Metrical Characterizations of super weakly compact operators” by Ryan M. Causey and Stephen J. Dilworth.
Abstract: We characterize super weakly compact operators as those through which binary tree and diamond and Laakso graphs may not be factored with uniform distortion.
The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1604.01810