Open AccessOn Norm Attaining Polynomials
Author(s) -
Richard M. Aron,
Domingo Garcı́a,
Manuel Maestre
Publication year - 2003
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1145476151
Subject(s) - mathematics , norm (philosophy) , algebra over a field , pure mathematics , mathematical economics , political science , law
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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