Interpolation orbit functorsand reiteration theorems

AbstractIn this paper certain operator ideals are used to study interpolation orbit functors. It is shown that orbit functors from the couples of weighted ℓp or c0 spaces coincide on the class of regular finite dimensional couples with coorbit interpolation functors generated by certain operator ideals. As an application the reiteration theorems for interpolation orbits spaces in the dual couples of compatible Banach spaces satisfying certain approximation property are proved