Extremal structure of cones of positive homogeneous polynomials (Q6539296)

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scientific article; zbMATH DE number 7848698
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Extremal structure of cones of positive homogeneous polynomials
scientific article; zbMATH DE number 7848698

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    Extremal structure of cones of positive homogeneous polynomials (English)
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    14 May 2024
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    The author extends the main result of \textit{A. W. Wickstead} [Q. J. Math., Oxf. II. Ser. 32, 239--253 (1981; Zbl 0431.47024)] to orthogonally additive homogeneous polynomials between vector lattices.\N\NThe author concludes that the extremal structure of the cone of positive orthogonally additive homogeneous polynomials is similar to that of the cone of positive linear operators.
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    orthogonally additive polynomial
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    lattice polymorphism
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    powers
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    vector lattice
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    extremal ray
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    convex hull
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