Total orderization invariant maps on distributive lattices

DOI10.1007/s40840-023-01510-5arXiv2206.14470OpenAlexW4381588172MaRDI QIDQ6111320

Christopher Michael Schwanke

Publication date: 6 July 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.14470

zbMATH Keywords

distributive latticevector latticeorthogonally additive polynomialpositively homogeneous functionorthosymmetric maptotal orderization

Mathematics Subject Classification ID

Continuous lattices and posets, applications (06B35) Ordered topological linear spaces, vector lattices (46A40)

Cites Work

• Functional completions of Archimedean vector lattices
• Complex vector lattices via functional completions
• Functional calculus on Riesz spaces
• Valuations: from orthogonal additivity to orthosymmetry
• The de Schipper formula and squares of Riesz spaces
• Almost f-algebras and d-algebras
• Some notes on orthogonally additive polynomials
• Orthogonally Additive Homogenous Polynomials on Vector Lattices
• Vector Lattice Powers:f-Algebras and Functional Calculus
• A Nakano carrier theorem for polynomials
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