Order closed ideals in pre-Riesz spaces and their relationship to bands

DOI10.1007/s11117-018-0558-5zbMath1478.06006arXiv1801.09963OpenAlexW3104474878MaRDI QIDQ1791094

Helena Malinowski

Publication date: 4 October 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09963

zbMATH Keywords

idealbandpartially ordered vector spacepervasivepre-Riesz spaceorder dense subspaceorder closed

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (6)

Projection bands and atoms in pervasive pre-Riesz spaces ⋮ A short note on band projections in partially ordered vector spaces ⋮ On Disjointness, Bands and Projections in Partially Ordered Vector Spaces ⋮ Vector lattice covers of ideals and bands in Pre-Riesz spaces ⋮ Order continuous operators on pre-Riesz spaces and embeddings ⋮ Pervasive and weakly pervasive pre-Riesz spaces

Cites Work

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• Bands in partially ordered vector spaces with order unit
• Tensor products of Archimedean partially ordered vector spaces
• Riesz completions, functional representations, and anti-lattices
• Disjointness in partially ordered vector spaces
• Ideals and bands in pre-Riesz spaces
• Regular operators from and into a small Riesz space
• Seminorms on ordered vector spaces that extend to Riesz seminorms on larger Riesz spaces
• Directed ideals in partially ordered vector spaces
• Geometrie der Kegel
• Bands in pervasive pre-Riesz spaces
• Functional analysis

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