The existence of unbounded *-representations of (locally convex) tensor product *-algebras is investigated, in terms of the existence of unbounded *-representations of the (locally convex) factors of the tensor product and vice versa.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-3-4, author = {M. Fragoulopoulou and A. Inoue}, title = {Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms}, journal = {Studia Mathematica}, volume = {178}, year = {2007}, pages = {259-271}, zbl = {1138.46044}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-3-4} }
M. Fragoulopoulou; A. Inoue. Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms. Studia Mathematica, Tome 178 (2007) pp. 259-271. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-3-4/