Operator Algebras with Unique Preduals

Davidson, Kenneth R. ; Wright, Alex

Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 411-421

Résumé

We show that every free semigroup algebra has a (strongly) unique Banach space predual. We also provide a new simpler proof that a weak- $*$ closed unital operator algebra containing a weak- $*$ dense subalgebra of compact operators has a unique Banach space predual.

Détail

DOI : 10.4153/CMB-2011-036-0

Mots-clés : 47L50, 46B04, 47L35, unique predual, free semigroup algebra, CSL algebra

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