Invertibility in tensor products of Q-algebras

Seán Dineen, and Pablo Sevilla-Peris. "Invertibility in tensor products of Q-algebras." Studia Mathematica 153.3 (2002): 269-284. <http://eudml.org/doc/284809>.

@article{SeánDineen2002,
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.},
author = {Seán Dineen, Pablo Sevilla-Peris},
journal = {Studia Mathematica},
keywords = {Q-algebra; left inverse; uniform tensor norm},
language = {eng},
number = {3},
pages = {269-284},
title = {Invertibility in tensor products of Q-algebras},
url = {http://eudml.org/doc/284809},
volume = {153},
year = {2002},
}

TY - JOUR
AU - Seán Dineen
AU - Pablo Sevilla-Peris
TI - Invertibility in tensor products of Q-algebras
JO - Studia Mathematica
PY - 2002
VL - 153
IS - 3
SP - 269
EP - 284
AB - 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.
LA - eng
KW - Q-algebra; left inverse; uniform tensor norm
UR - http://eudml.org/doc/284809
ER -