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Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula (1706.04703v3)
Published 15 Jun 2017 in math.FA
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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