A Banach algebra approach to the weak spectral mapping theorem for locally compact abelian groups
Langue
en
Article de revue
Ce document a été publié dans
Operator Theory: Advances and Applications. 2015, vol. 250, p. 155-170
Springer
Résumé en anglais
We give a general version of the weak spectral mapping theorem for non-quasianalytic representations of locally compact abelian groups which are weakly continuous in the sense of Arveson, based on a Banach algebra approach.
Mots clés en anglais
spectral mapping theorem
representation
dual pair
regular banach algebra
non quasianalyticity