RT Journal Article T1 On the Optimality of Compactness Results for Interpolation Methods Associated to Polygons A1 Cobos Díaz, Fernando AB Compactness 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. PB Elsevier Science SN 0019-3577 YR 1994 FD 1994 LK https://hdl.handle.net/20.500.14352/57316 UL https://hdl.handle.net/20.500.14352/57316 NO Dirección General de Investigación Científica y Técnica (España) NO Committee for Cultural and Educational Cooperation (España y Estados Unidos) DS Docta Complutense RD 10 abr 2025