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

Manzano Rodríguez, Antonio 758 600 0000-0002-1525-5319 Mastyło, Mieczysław 885d0048-702a-4e79-b542-212a01f8ec36 600 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 THUMBNAIL Manzano-aot_2025.pdf.jpg Manzano-aot_2025.pdf.jpg IM Thumbnail image/jpeg 4425 https://riubu.ubu.es/bitstream/10259/9782/4/Manzano-aot_2025.pdf.jpg 8fe1027704ea490ebb4e45231f1ca1d5 MD5 4 LICENSE license.txt license.txt text/plain; charset=utf-8 999 https://riubu.ubu.es/bitstream/10259/9782/3/license.txt b295bcbce42e2caabeb0c623d3860c06 MD5 3 CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 908 https://riubu.ubu.es/bitstream/10259/9782/2/license_rdf 0175ea4a2d4caec4bbcc37e300941108 MD5 2 ORIGINAL Manzano-aot_2025.pdf Manzano-aot_2025.pdf application/pdf 456226 https://riubu.ubu.es/bitstream/10259/9782/1/Manzano-aot_2025.pdf 76e89e918e92732c9358375e7785549e MD5 1 10259/9782 oai:riubu.ubu.es:10259/9782 2025-01-17 10:28:00.979 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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