Cobos Díaz, FernandoRomero Medina, Raúl2023-06-202023-06-2020041331-4343https://hdl.handle.net/20.500.14352/49887Working 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 operator (located in adjacent vertices) are compact. We characterize here those intermediate spaces that satisfy the conclusion of Cobos-Peetre result for all operators. We also establish some results on rank-one interpolation spaces.engjournal articlehttp://files.ele-math.com/abstracts/mia-07-57-abs.pdfhttp://mia.ele-math.com/restricted access517.518.85Interpolation MethodsOperatorsNoncompactnessPolygonsRealInterpolation methods associated to polygonsCompactness of interpolated operatorsRank-one interpolation spacesMathematicsAnálisis numérico1206 Análisis Numérico