Continuous orthosymmetric multilinear maps and homogeneous polynomials on Riesz spaces revisited

DOI10.1007/s41478-021-00380-zOpenAlexW4206035000MaRDI QIDQ2159221

Moahamed Ali Toumi

Publication date: 28 July 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-021-00380-z

zbMATH Keywords

homogeneous polynomialuniversally complete vector latticevector lattice

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

Cites Work

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• A decomposition of orthogonally additive polynomials on Archimedean vector lattices
• Orthogonally additive polynomials over \(C(K)\) are measures. A short proof
• Almost \(f\)-algebras: Commutativity and the Cauchy-Schwarz inequality
• Orthogonally additive polynomials on spaces of continuous functions
• Continuous orthosymmetric multilinear maps and homogeneous polynomials on Riesz spaces
• On the representation of orthogonally additive polynomials in \(\ell _p\)
• ORTHOGONALLY ADDITIVE POLYNOMIALS ON DEDEKIND σ-COMPLETE VECTOR LATTICES
• On Products in Lattice-ordered Algebras
• HOMOGENEOUS ORTHOGONALLY ADDITIVE POLYNOMIALS ON BANACH LATTICES

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