Geometric interpolation in symmetrically-normed ideals Original Research Article

The aim of this work is to apply the complex interpolation method to norms of n-tuples of operators in a symmetrically-normed ideal image defined by a phi symmetric norming function (s.n.f.). The norms considered define Finsler metrics in a certain manifold of positive operators, and can be regarded as weighted phi-norms, the weight being a positive invertible operator.