Commutator estimates for interpolation scales with holomorphic structure
The author considers the complex interpolation method \([X_0, X_1]_\theta\) and investigates how the interpolation norm of commutators depends explicitly on \(\theta.\) Similar results are proved for the general analytic interpolation, which includes the complex and real interpolation methods. An application to the spectral behaviour of bounded linear operators under interpolation is also given.
scientific article; zbMATH DE number 5795251