Fredholm properties of operators on interpolation spaces
We will discuss the stability of Fredholm properties for operators within interpolation scales of Banach spaces. We show that interpolated isomorphisms satisfy the property of local uniqueness of inverses. The results obtained improve upon and extend key findings from previous works. In particular, we demonstrate the stability of kernels and cokernels of Fredholm operators on Calderón spaces in the famous Shneiberg theorem.