6533b859fe1ef96bd12b8172

RESEARCH PRODUCT

Summability and estimates for polynomials and multilinear mappings

Geraldo BotelhoPilar RuedaDaniel Pellegrino

subject

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

description

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.

yearjournalcountryeditionlanguage
2008-03-01Indagationes Mathematicae
10.1016/s0019-3577(08)00007-4http://dx.doi.org/10.1016/s0019-3577(08)00007-4