  Garling sequence spaces admit a renorming with respect to which their
standard unit vector basis is 1-greedy. We also discuss some additional
properties of these Banach spaces related to uniform convexity and
superreflexivity. In particular, our approach to the study of the
superreflexivity of Garling sequence space provides an example of how
essentially non-linear tools from greedy approximation can be used to shed
light into the linear structure of the spaces.
