A Remark on Continuity of Positive Linear Functionals on Separable Banach *-Algebras
Résumé
Using a variation of the Murphy-Varopoulos Theorem, we give a new proof of the following R. J. Loy Theorem: Let A be a separable Banach *-algebra with center Z such that ZA has at most countable codimension, then every positive linear functional on A is continuous.
Domaines
Analyse fonctionnelle [math.FA]
Origine : Fichiers produits par l'(les) auteur(s)
Loading...