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arXiv · 2109.10402

Homogeneous Polynomials: Harmonic Means and Completely Partitioned Weighted Geometric Means

Christopher Schwanke
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Abstract

We provide two new characterizations of bounded orthogonally additive polynomials from a uniformly complete vector lattice into a convex bornological space using harmonic means and completely partitioned weighted geometric means. Our result involving completely partitioned weighted geometric means generalizes a recent theorem on bounded orthogonally additive polynomials by Z.A. Kusraeva as well as parts of related theorems by G. Buskes and the author.

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BibTeXRIS

Christopher Schwanke. 2021-09-21. Homogeneous Polynomials: Harmonic Means and Completely Partitioned Weighted Geometric Means. https://arxiv.org/abs/2109.10402

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