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/