## Sur l’espace de Banach engendre par les coefficients d’une représentation unitaire.(French)Zbl 0365.43005

### MSC:

 43A65 Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) 22D15 Group algebras of locally compact groups 22D25 $$C^*$$-algebras and $$W^*$$-algebras in relation to group representations 22D10 Unitary representations of locally compact groups 43A35 Positive definite functions on groups, semigroups, etc.