Interpolation of isomorphisms and Fredholm operators
We will discuss the interpolation of isomorphisms and Fredholm operators acting between Banach spaces generated by abstract interpolation methods. We will present general results regarding the stability of interpolated isomorphisms and the uniqueness of inverse operators between scales of interpolation spaces. We will show applications to PDE’s. The talk is based on the joint works with Irina Asekritova and Natan Kruglyak.