6533b81ffe1ef96bd127739c

RESEARCH PRODUCT

Closed injective ideals of multilinear operators, related measures and interpolation

Enrique A. Sánchez-pérezPilar RuedaAntonio Manzano

subject

Multilinear mapPure mathematicsIdeal (set theory)Ideal of multilinear operatorsGeneral MathematicsZero (complex analysis)Measure associated to an idealMeasure (mathematics)Injective functionInterpolationClosed idealInjective idealInner measureInjective hullMATEMATICA APLICADAInterpolationMathematics

description

[EN] 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.

yearjournalcountryeditionlanguage
2020-01-20
10.1002/mana.201800415https://doi.org/10.1002/mana.201800415