Multiplicative Representation of Real-Valued bi-Riesz Homomorphisms on Partially Ordered Vector Spaces

DOI10.1007/978-3-030-70974-7_10OpenAlexW3215872780MaRDI QIDQ5152983

Anke Kalauch, Onno van Gaans

Publication date: 28 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-70974-7_10

zbMATH Keywords

partially ordered vector spaceRiesz completionRiesz homomorphismpre-Riesz spacebi-Riesz homomorphismRiesz $*$-homomorphism

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Extension and factorization of Riesz \(n\)-morphisms on pre-Riesz spaces

Cites Work

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• Riesz completions, functional representations, and anti-lattices
• Some aspects of Riesz multimorphisms
• Riesz\(^*\) homomorphisms on pre-Riesz spaces consisting of continuous functions
• Lattice bimorphisms on \(f\)-algebras.
• Pre-Riesz spaces
• Indecomposable Positive Additive Functionals

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