On the extension of 2- polynomials

Details On the extension of 2- polynomials On the extension of 2- polynomials

1995-01-10

arxiv.org/abs/math/9501212v1

Mathematics

Functional Analysis

Scientific paper

Let $X$ be a three dimensional real Banach space. Ben\'itez and Otero \cite
{BeO} showed that if the unit ball of $X$ is is an intersection of two
ellipsoids, then every 2-polynomial defined in a linear subspace of $X$ can be
extended to $X$ preserving the norm. In this article, we extend this result to
any finite dimensional Banach space.

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