We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-2-4, author = {P. G. Dodds and E. M. Semenov and F. A. Sukochev}, title = {RUC systems in rearrangement invariant spaces}, journal = {Studia Mathematica}, volume = {151}, year = {2002}, pages = {161-173}, zbl = {1031.46017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-2-4} }
P. G. Dodds; E. M. Semenov; F. A. Sukochev. RUC systems in rearrangement invariant spaces. Studia Mathematica, Tome 151 (2002) pp. 161-173. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-2-4/