6533b86efe1ef96bd12cc8bb

RESEARCH PRODUCT

A multilinear Lindenstrauss theorem

Manuel MaestreMaría D. AcostaDomingo García

subject

Discrete mathematicsMultilinear mapMathematics::Functional AnalysisEberlein–Šmulian theoremBanach spaceBanach manifoldPolynomialsBanach spacesBounded functionInterpolation spaceLp spaceBounded inverse theoremMultilinear mappingsAnalysisMathematics

description

Abstract We show that the set of N -linear mappings on a product of N Banach spaces such that all their Arens extensions attain their norms (at the same element) is norm dense in the space of all bounded N -linear mappings.

yearjournalcountryeditionlanguage
2006-06-01Journal of Functional Analysis
10.1016/j.jfa.2005.10.002http://dx.doi.org/10.1016/j.jfa.2005.10.002