Geodesic
Invertibility in tensor products of Q-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
Studia Mathematica, Tome 153 (2002) no. 3, pp. 269-284 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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