2026-06-10T00:38:19Zhttps://riubu.ubu.es/oai/requestoai: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
Análisis matemático
Mathematical analysis
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.
2024-12-13T12:48:19Z
2024-12-13T12:48:19Z
2024-12
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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/
Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
application/pdf
Birkhäuser (Springer)
https://riubu.ubu.es/bitstream/10259/9782/4/Manzano-aot_2025.pdf.jpg
Hispana
TEXT
http://creativecommons.org/licenses/by/4.0/
RIUBU. Repositorio Institucional de la Universidad de Burgos
http://hdl.handle.net/10259/9782