RT info:eu-repo/semantics/article
T1 Closed injective ideals of multilinear operators, related measures and interpolation
A1 Manzano Rodríguez, Antonio
A1 Rueda, Pilar
A1 Sánchez-Pérez, Enrique A.
K1 Closed ideal
K1 Ideal of multilinear operators
K1 Injective ideal
K1 Interpolation
K1 Measure associated to an ideal
K1 Análisis matemático
K1 Mathematical analysis
AB We introduce and discuss several ways of extending the inner measure arisen from the closed injective hull of an ideal of linear operators to the multilinear case. In particular, we consider new measures that allow to characterize the operators that belong to a closed injective ideal of multilinear operators as those having measure equal to zero. Some interpolation formulas for these measures, and consequently interpolation results involving ideals of multilinear operators, are established. Examples and applications related to summing multilinear operators are also shown.
PB Wiley-VCH
SN 0025-584X
YR 2020
FD 2020-03
LK http://hdl.handle.net/10259/9755
UL http://hdl.handle.net/10259/9755
LA eng
NO Ministerio de Economía, Industria y Competitividad and FEDER. Grant Numbers: MTM2016-77054-C2-1-P, MTM2017-84058-P.
DS Repositorio Institucional de la Universidad de Burgos
RD 04-dic-2024