Interpolation theory and measures related to operator ideals

Abstract

Given an operator ideal J , the author describes the behaviour under interpolation of deviations of a linear operator T from the closed surjective hull of J and the closed injective hull of J . General results obtained in a collaboration with A. Martínez, A. Manzano and P. Fernández-Martínez are exemplified on particular cases of operator ideals (e.g., on ideals of compact or weakly compact operators, on ideals of strictly singular or cosingular operators, etc.)