Let (A0, A1) and (B0, B1) be couples of quasi-Banach spaces and let T be a linear operator.
We prove that if T: A0→ B0 is compact and T: A1→ B1 is bounded, then T:(A0, A1) θ, q→(B0 …

We prove some reiteration formulas for the Cobos-Peetre polygon method for n+ 1-tuples
that consists of spaces Ai where Ai is of class θi with respect to a compatible pair (X, Y). If θi …

We work with interpolation methods for-tuples of Banach spaces associated with polygons.
We compare necessary conditions for interpolating closed operator ideals with conditions …

We establish an estimate for the measure of non-compactness of an interpolated operator
acting from a J-space into a K-space. Our result refers to general Banach N-tuples. We also …

Working with interpolation methods associated to polygons, a result of Cobos and Peetre
guarantees that the interpolated operator is compact provided all but two restrictions of the …

RACSAM Page 1 RACSAM Rev. R. Acad. Cien. Serie A. Mat. VOL. 100 (1-2), 2006, pp. 51–61
Análisis Matemático / Mathematical Analysis Remarks on compact operators between …