Norm-attaining polynomials and differentiability
Juan Ferrera
Studia Mathematica, Tome 151 (2002), p. 1-21 / Harvested from The Polish Digital Mathematics Library
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We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Fréchet differentiable. We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284696 
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Juan Ferrera. Norm-attaining polynomials and differentiability. Studia Mathematica, Tome 151 (2002) pp. 1-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-1-1/