Inverses of disjointness preserving operators in finite dimensional pre-Riesz spaces

DOI10.2989/16073606.2018.1451405OpenAlexW2774637633MaRDI QIDQ5742562

Bas Lemmens, Onno van Gaans, Anke Kalauch

Publication date: 15 May 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1451405

zbMATH Keywords

bandband preserving operatordisjointness preserving operatorfinite dimensionalpre-Riesz spaced-isomorphismgenerating closed cone

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60)

Related Items (3)

Disjointness preserving operators on normed pre-Riesz spaces: extensions and inverses ⋮ Order theoretical structures in atomic JBW-algebras: disjointness, bands, and centres ⋮ On Disjointness, Bands and Projections in Partially Ordered Vector Spaces

Cites Work

• Unnamed Item
• Bands in partially ordered vector spaces with order unit
• Disjointness in partially ordered vector spaces
• Ideals and bands in pre-Riesz spaces
• A characterization of operators preserving disjointness in terms of their inverse
• Invertible disjointness preserving operators
• Hammerstein Operators Preserving Disjointness
• Inverses and regularity of disjointness preserving operators

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