Near inclusions of amenable operator algebras.

Jean Roydor (1)

1 IMB - Institut de Mathématiques de Bordeaux

We prove that if an amenable operator algebra is nearly contained in a complemented dual operator algebra, then it can be embedded inside this dual operator algebra via a similarity. The proof relies on a B.E. Johnson Theorem on approximately multiplicative maps.

Domaines: Analyse fonctionnelle [math.FA]

Jean Roydor. Near inclusions of amenable operator algebras.. Bull. Lond. Math. Soc., 2011, pp.Bull. Lond. Math. Soc. 43 (2011), no. 5, 965-971. ⟨hal-01016330⟩