Geodesic
Invertibility in tensor products of Q-algebras
Seán Dineen1 ; Pablo Sevilla-Peris2
1 Department of Mathematics University College Dublin Belfield Dublin 4, Ireland
2 Departamento de Análisis Matemático Universidad de Valencia C/ Doctor Moliner 50 46100 Burjasot (Valencia), Spain
Studia Mathematica, Tome 153 (2002) no. 3, pp. 269-284

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm153-3-4
Keywords: consider using various tensor norms completed tensor product unital lmc algebras which commutative main result shows tensor product q algebras lmc algebra q algebra only pointwise invertibility implies invertibility gelfand theory always chet algebras

Seán Dineen 1 ; Pablo Sevilla-Peris 2

1 Department of Mathematics University College Dublin Belfield Dublin 4, Ireland
2 Departamento de Análisis Matemático Universidad de Valencia C/ Doctor Moliner 50 46100 Burjasot (Valencia), Spain 
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Seán Dineen; Pablo Sevilla-Peris. Invertibility in tensor products of Q-algebras. Studia Mathematica, Tome 153 (2002) no. 3, pp. 269-284. doi: 10.4064/sm153-3-4

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