Invertibility in tensor products of Q-algebras
Volume 153 / 2002
Studia Mathematica 153 (2002), 269-284
MSC: Primary 46H05.
DOI: 10.4064/sm153-3-4
Abstract
We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.
