Cobos Díaz, Fernando2023-06-202023-06-2019940019-357710.1016/0019-3577(94)90014-0https://hdl.handle.net/20.500.14352/57316Compactness results of Cobos and Peetre [3] guarantee that the interpolated operator is compact assuming that all but two restrictions of the operator (located in adjacent vertices) are compact. Comparing these results with others in the literature, one might expect that the same conclusion holds under weaker compactness conditions. However, the Cobos-Peetre results are best possible as we show by means of counterexamples.On the Optimality of Compactness Results for Interpolation Methods Associated to Polygonsjournal articlehttps//doi.org/10.1016/0019-3577(94)90014-0http://www.sciencedirect.com/science/article/pii/0019357794900140metadata only access517.98Análisis funcional y teoría de operadores