2021/09/21 by Christopher Schwanke, Schwanke, Christopher
Mathematics · #Advanced Banach Space Theory #Analytic and geometric function theory #Bounded function #Combinatorics #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Geometry #Homogeneous #Lattice (music) #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Physics #Pure mathematics #Regular polygon #math.FA
paper · pdf · doi:10.48550/arxiv.2109.10402
arxiv created 2021/09/21 · openalex publication_date 2021/09/21 · arxiv updated 2021/09/23 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
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.