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Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula

2017/06/15 by T. Velanga, Velanga, T.
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1706.04703

openalex publication_date 2017/06/15 · openalex created_date 2018/10/26 · openalex updated_date 2026/08/03

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.

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