Unbounded $*$-representations of tensor product locally convex $*$-algebras induced by unbounded $C^*$-seminorms
Volume 183 / 2007
Studia Mathematica 183 (2007), 259-271
MSC: 46M05, 46L06, 46K10, 47L60.
DOI: 10.4064/sm183-3-4
Abstract
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.