Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula
Functional Analysis
2019-06-12 v3
Abstract
We show that (k,m)-linear mappings, introduced by I. Chernega and A. Zagorodnyuk in [3], are particular cases of polynomials. As corollaries, we expose some apparently overlooked properties in the literature. For instance, every multilinear mapping is a homogeneous polynomial. Contributions to the polarization formula are also provided.
Cite
@article{arxiv.1706.04703,
title = {Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula},
author = {T. Velanga},
journal= {arXiv preprint arXiv:1706.04703},
year = {2019}
}