Disjointness in partially ordered vector spaces

DOI10.1007/s11117-005-0015-0zbMath1109.46006OpenAlexW2025394619MaRDI QIDQ850594

Onno van Gaans, Anke Kalauch

Publication date: 3 November 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0015-0

zbMATH Keywords

band preserving operatorpartially ordered vector spacedisjointnessdisjointness preserving operatorRiesz completionpre-Riesz spacedisjoint complementorder dense subspace

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40)

Related Items (14)

Projection bands and atoms in pervasive pre-Riesz spaces ⋮ A short note on band projections in partially ordered vector spaces ⋮ Disjointness preserving operators on normed pre-Riesz spaces: extensions and inverses ⋮ Disjointness preserving \(\mathrm{C}_0\)-semigroups and local operators on ordered Banach spaces ⋮ Bands in partially ordered vector spaces with order unit ⋮ On Disjointness, Bands and Projections in Partially Ordered Vector Spaces ⋮ Directed ideals in partially ordered vector spaces ⋮ Inverses of disjointness preserving operators in finite dimensional pre-Riesz spaces ⋮ Vector lattice covers of ideals and bands in Pre-Riesz spaces ⋮ Order closed ideals in pre-Riesz spaces and their relationship to bands ⋮ Ideals and bands in pre-Riesz spaces ⋮ Order continuous operators on pre-Riesz spaces and embeddings ⋮ Riesz completions, functional representations, and anti-lattices ⋮ Pervasive and weakly pervasive pre-Riesz spaces

Cites Work

• Banach lattices
• Seminorms on ordered vector spaces that extend to Riesz seminorms on larger Riesz spaces
• Inverses of disjointness preserving operators
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