Norming algebras and automatic complete boundedness of isomorphisms of operator algebras
Norming algebras and automatic complete boundedness of isomorphisms of operator algebras
We combine the notion of norming algebra introduced by Pop, Sinclair and Smith with a result of Pisier to show that if $\mathcal {A}_1$ and $\mathcal {A}_2$ are operator algebras, then any bounded epimorphism of $\mathcal {A}_1$ onto $\mathcal {A}_2$ is completely bounded provided that $\mathcal {A}_2$ contains a norming …