On the extension of 2- polynomials
Functional Analysis
2009-09-25 v1
Abstract
Let be a three dimensional real Banach space. Ben\'itez and Otero \cite {BeO} showed that if the unit ball of is is an intersection of two ellipsoids, then every 2-polynomial defined in a linear subspace of can be extended to preserving the norm. In this article, we extend this result to any finite dimensional Banach space.
Keywords
Cite
@article{arxiv.math/9501212,
title = {On the extension of 2- polynomials},
author = {P. K. Lin},
journal= {arXiv preprint arXiv:math/9501212},
year = {2009}
}