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On Norm Attaining Polynomials
Richard M. Aron, Domingo García, Manuel Maestre
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Source: Crossref
Published: Mar 31, 2003
DOI: 10.2977/prims/1145476151
Open original source ↗Source abstract
We show that for every Banach space X the set of 2-homogeneous continuous polynomials whose canonical extension to X^{∗∗} attain their norm is a dense subset of the space of all 2-homogeneous continuous polynomials \mathcal P({}^2X) .
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