2026-06-10T02:12:05Zhttps://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

Manzano Rodríguez, Antonio Mastyło, Mieczysław 2024-12-13T12:48:19Z 2024-12-13T12:48:19Z 2024-12 2662-2009 http://hdl.handle.net/10259/9782 10.1007/s43036-024-00410-0 2538-225X 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. The first named author was supported in part by UCM Grant PR3/23-30811. The research of the second author was supported by the National Science Centre, Poland, Project no. 2019/33/B/ST1/00165. application/pdf eng Birkhäuser (Springer) 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/ Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Multilinear operator Weak compactness Interpolation Factorization Tensor product Análisis matemático Mathematical analysis On weakly compact multilinear operators and interpolation info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Advances in Operator Theory 10 1