2026-05-19T15:07:56Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/97822025-01-17T09:28:00Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

On weakly compact multilinear operators and interpolation Manzano Rodríguez, Antonio Mastyło, Mieczysław Multilinear operator Weak compactness Interpolation Factorization Tensor product We study weakly compact multilinear operators. We prove a variant of Gantmacher’s weak compactness theorem for multilinear operators. We also present Lions–Peetre type results on weak compactness interpolation for multilinear operators. Furthermore, we provide an analogue of Persson’s result on interpolation of weakly compact operators under the assumption that the target Banach couple satisfies a certain weakly compact approximation property. 2024-12-13T12:48:19Z 2024-12-13T12:48:19Z 2024-12 info:eu-repo/semantics/article 2662-2009 http://hdl.handle.net/10259/9782 10.1007/s43036-024-00410-0 2538-225X eng Advances in Operator Theory. 2025, V. 10, n. 1, 20 https://doi.org/10.1007/s43036-024-00410-0 info:eu-repo/grantAgreement/UCM//PR3%2F23-30811//Teoría de Interpolación, Espacios de Funciones y Operadores Multilineales/TIEFOM/ http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional Birkhäuser (Springer)