Resumen de Representations of Banach algebras as algebras of completely bounded maps

Timur Oikhberg

• We use the notion of Π2-hyperreflexivity to construct, for a wide variety of Banach algebras A, an operator space X and a representation π:A→CB(X), such that CB(X) consists of 2-summing perturbations of π(A). This gives rise to some examples of operator spaces with interesting properties.