Representations of Banach algebras as algebras of completely bounded maps

• Autores: Timur Oikhberg
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 105, Nº 1, 2009, págs. 99-120
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.