Answering a question of Pisier, posed in [10], we construct an L-set which is not a finite union of translates of free sets.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-2-9, author = {Gero Fendler}, title = {A Note on L-sets}, journal = {Colloquium Mathematicae}, volume = {91}, year = {2002}, pages = {281-284}, zbl = {1014.43003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-2-9} }
Gero Fendler. A Note on L-sets. Colloquium Mathematicae, Tome 91 (2002) pp. 281-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-2-9/