6533b7d6fe1ef96bd1266741

RESEARCH PRODUCT

Cotype 2 estimates for spaces of polynomials on sequence spaces

Manuel MaestrePablo Sevilla-perisAndreas Defant

subject

CombinatoricsMathematics::Functional AnalysisSequencesymbols.namesakeSpan (category theory)General MathematicsLorentz transformationMinkowski spaceMathematics::Optimization and ControlsymbolsAlgebra over a fieldConstant (mathematics)Mathematics

description

We give asymptotically correct estimations for the cotype 2 constant C2(P(mXn)) ofthe spaceP(mXn) of allm-homogenous polynomials onXn, the span of the firstn sequencesek=(\gdkj)j in a Banach sequence spaceX. Applications to Minkowski, Orlicz and Lorentz sequence spaces are given.

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