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A decomposition of orthogonally additive polynomials on Archimedean vector lattices

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Publication:386813
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zbMath1280.06014MaRDI QIDQ386813

Moahamed Ali Toumi

Publication date: 10 December 2013

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1382448184


zbMATH Keywords

orthogonally additive polynomialsArchimedean vector latticesorthosymmetric multimorphisms


Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)


Related Items (4)

Continuous orthosymmetric multilinear maps and homogeneous polynomials on Riesz spaces revisited ⋮ Geometry of spaces of orthogonally additive polynomials on \(C(K)\) ⋮ The Dineen problem for homogeneous orthogonally-additive polynomials. ⋮ Averaging operators and continuous projections on \(f\)-algebras




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