A structure theorem for truncations on an Archimedean vector lattice

DOI10.1007/S00012-024-00858-4MaRDI QIDQ6568738

Karim Boulabiar

Publication date: 8 July 2024

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

truncationextensionbandinfinitesimalweak unitcomponentDedekind completevector latticeArchimedeanuniversal completionorder dense

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

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• Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation
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• Extreme positive operators on topologically truncated Banach lattices
• Inextensible Riesz spaces
• Structural aspects of truncated archimedean vector lattices: good sequences, simple elements
• Unitization of a lattice ordered ring with a truncation
• Embedding of a truncated vector lattice into its universal completion

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