RT Journal Article T1 Lions-Peetre type compactness results for several Banach spaces A1 Cobos Díaz, Fernando A1 Romero Medina, Raúl AB 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 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. PB Element SN 1331-4343 YR 2004 FD 2004 LK https://hdl.handle.net/20.500.14352/49887 UL https://hdl.handle.net/20.500.14352/49887 LA eng DS Docta Complutense RD 1 ene 2026