RT info:eu-repo/semantics/article
T1 Closed surjective ideals of multilinear operators and interpolation
A1 Manzano Rodríguez, Antonio
A1 Rueda, Pilar
A1 Sánchez-Pérez, Enrique A.
K1 Ideal of multilinear operators
K1 Closed ideal
K1 Surjective ideal
K1 Measure associated to an ideal
K1 Interpolation
K1 Análisis matemático
K1 Mathematical analysis
AB In this paper we introduce a function for multilinear operators that can be considered as an extension of the so-called outer measure associated to a linear operator ideal. We prove that it allows to characterize the operators that belong to a closed surjective ideal of multilinear operators as those having measure equal to zero. We also obtain some interpolation formulas for this new measure. As a consequence we deduce interpolation results for arbitrary closed surjective ideals of multilinear operators which recover, in particular, different results previously established in the literature.
PB Birkhäuser (Springer)
SN 2662-2033
YR 2021
FD 2021-01
LK http://hdl.handle.net/10259/9754
UL http://hdl.handle.net/10259/9754
LA eng
NO The authors would like to thank the referees for their useful comments which have led to improve the paper. A. Manzano was supported in part by the Ministerio de Economía, Industria y Competitividad and FEDER under project MTM2017-84058-P. P. Rueda and E. A. Sánchez-Pérez were supported in part by the Ministerio de Economía, Industria y Competitividad and FEDER under project MTM2016-77054-C2-1-P.
DS Repositorio Institucional de la Universidad de Burgos
RD 04-dic-2024