Interpolation of Limited and Weakly Compact Operators on Families of Banach Spaces

摘要

In this paper, we study how the limited and weakly compact properties of operators are preserved by interpolation of the real method for infinite families of Banach spaces introduced by Carro in Studia Math. 109 (1994). We apply these results to the case of Sparr, Fernandez and Cobos–Peetre methods of interpolation for finite families.