6533b828fe1ef96bd12877f8
RESEARCH PRODUCT
Preduals of spaces of homogeneous polynomials onLp-spaces
Pilar RuedaDaniel PellegrinoGeraldo Botelhosubject
Discrete mathematicsPure mathematicsAlgebra and Number TheoryTopological tensor productHausdorff spaceBanach spaceInterpolation spacePredualBirnbaum–Orlicz spaceBanach manifoldLp spaceMathematicsdescription
Given a regular probability measure μ on a compact Hausdorff space, we explicitly describe the predual of the Banach space of continuous n-homogeneous polynomials on L p (μ) as the completion of a (explicit constructed) subspace of L p/n (μ) with respect to a (explicitly constructed) norm π p/n . An application to the factorization of dominated polynomials is provided.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-05-01 | Linear and Multilinear Algebra |