Displaying similar documents to “Operators with extension property and the principle of local reflexivity”

Local properties of accessible injective operator ideals

F. Oertel (1998)

Czechoslovak Mathematical Journal


In addition to Pisier’s counterexample of a non-accessible maximal Banach ideal, we will give a large class of maximal Banach ideals which are accessible. The first step is implied by the observation that a “good behaviour” of trace duality, which is canonically induced by conjugate operator ideals can be extended to adjoint Banach ideals, if and only if these adjoint ideals satisfy an accessibility condition (theorem 3.1). This observation leads in a natural way to a characterization...