Pervasive and weakly pervasive pre-Riesz spaces

DOI10.1016/j.indag.2018.11.003zbMath1421.46003arXiv1803.07454OpenAlexW2963994901MaRDI QIDQ2312703

Helena Malinowski, Anke Kalauch

Publication date: 17 July 2019

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07454

zbMATH Keywords

Riesz decomposition propertypre-Riesz space

Mathematics Subject Classification ID

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

Related Items

Projection bands and atoms in pervasive pre-Riesz spaces, On Disjointness, Bands and Projections in Partially Ordered Vector Spaces

Cites Work

• An elementary example of an order bound dual space that is not directed
• Disjointness in partially ordered vector spaces
• Ideals and bands in pre-Riesz spaces
• Riesz\(^*\) homomorphisms on pre-Riesz spaces consisting of continuous functions
• Order closed ideals in pre-Riesz spaces and their relationship to bands
• Bands in pervasive pre-Riesz spaces
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