Interpolation of real method spaces via some ideals of operators
Volume 136 / 1999
Studia Mathematica 136 (1999), 17-35
DOI: 10.4064/sm-136-1-17-35
Abstract
Certain operator ideals are used to study interpolation of operators between spaces generated by the real method. Using orbital equivalence a new reiteration formula is proved for certain real interpolation spaces generated by ordered pairs of Banach lattices of the form $(X,L_∞(w))$. As an application we extend Ovchinnikov's interpolation theorem from the context of classical Lions-Peetre spaces to a larger class of real interpolation spaces. A description of certain abstract J-method spaces is also presented.
