RT info:eu-repo/semantics/article
T1 On weakly compact multilinear operators and interpolation
A1 Manzano Rodríguez, Antonio
A1 Mastyło, Mieczysław
K1 Multilinear operator
K1 Weak compactness
K1 Interpolation
K1 Factorization
K1 Tensor product
K1 Análisis matemático
K1 Mathematical analysis
AB 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.
PB Birkhäuser (Springer)
SN 2662-2009
YR 2025
FD 2025-01
LK http://hdl.handle.net/10259/9782
UL http://hdl.handle.net/10259/9782
LA eng
NO 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.
DS Repositorio Institucional de la Universidad de Burgos
RD 22-dic-2024