On norm attaining polynomials

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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 P(2X).

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Aron, R. M., García, D., & Maestre, M. (2003). On norm attaining polynomials. Publications of the Research Institute for Mathematical Sciences, 39(1), 165–172. https://doi.org/10.2977/prims/1145476151

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