Invertibility in tensor products of Q-algebras

• Autorzy: Seán Dineen , Pablo Sevilla-Peris
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 153
• Numer: 3
• Strony: 269-284

Daty

wydano

2002

Twórcy

autor

Seán Dineen

• Department of Mathematics, University College Dublin, Belfield, Dublin 4, Ireland

autor

Pablo Sevilla-Peris

• Departamento de Análisis Matemático, Universidad de Valencia, C/ Doctor Moliner 50, 46100 Burjasot (Valencia), Spain

Identyfikatory

DOI

10.4064/sm153-3-4