JournalsprimsVol. 39 , No. 1DOI 10.2977/prims/1145476151

On Norm Attaining Polynomials

  • Richard M. Aron

    Kent State University, USA
  • Domingo García

    Universitat de Valencia, Burjassot (Valencia), Spain
  • Manuel Maestre

    Universitat de Valencia, Burjassot (Valencia), Spain
On Norm Attaining Polynomials cover

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(2_X).