Search results for "Multilinear mappings"

showing 2 items of 2 documents

A multilinear Lindenstrauss theorem

2006

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.

Discrete mathematicsMultilinear mapMathematics::Functional AnalysisEberlein–Šmulian theoremBanach spaceBanach manifoldPolynomialsBanach spacesBounded functionInterpolation spaceLp spaceBounded inverse theoremMultilinear mappingsAnalysisMathematicsJournal of Functional Analysis
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Summability and estimates for polynomials and multilinear mappings

2008

Abstract In this paper we extend and generalize several known estimates for homogeneous polynomials and multilinear mappings on Banach spaces. Applying the theory of absolutely summing nonlinear mappings, we prove that estimates which are known for mappings on l p spaces in fact hold true for mappings on arbitrary Banach spaces.

Discrete mathematicsMultilinear mapPure mathematicsMathematics::Functional AnalysisMathematics(all)General MathematicsBanach spaceAbsolutely summingNonlinear systemCotypeHomogeneousEstimatesMultilinear mappingsMathematicsIndagationes Mathematicae
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