On the extension of 2- polynomials

P. K. Lin

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arXiv · math/9501212

On the extension of 2- polynomials

P. K. Lin

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Abstract

Let $X$ be a three dimensional real Banach space. Benítez 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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P. K. Lin. 1995-01-10. On the extension of 2- polynomials. https://arxiv.org/abs/math/9501212

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