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Arens extensions for polynomials and the Woodbury-Schep formula. (English) Zbl 1454.46040

Buskes, Gerard (ed.) et al., Positivity and noncommutative analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday. Based on the workshop “Positivity and Noncommutative Analysis”, Delft, The Netherlands, September 26–28, 2018. Cham: Birkhäuser. Trends Math., 37-48 (2019).
Summary: Among other results, we provide a formula for the order continuous component of a positive \(s\)-homogeneous polynomial on a vector lattice with Dedekind complete range.
For the entire collection see [Zbl 1431.46001].

MSC:

46G25 (Spaces of) multilinear mappings, polynomials
46A40 Ordered topological linear spaces, vector lattices
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