6533b822fe1ef96bd127cb13

RESEARCH PRODUCT

On norm attaining polynomials

Richard M. AronManuel MaestreDomingo García

subject

CombinatoricsDense setGeneral MathematicsNorm (mathematics)Banach spaceOperator normMathematics

description

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).

https://doi.org/10.2977/prims/1145476151