The Freudenthal spectral theorem and sufficiently many projections in Archimedean vector lattices

DOI10.1007/S11117-024-01033-8MaRDI QIDQ6197111

Anthony W. Hager, Brian Wynne

Publication date: 16 March 2024

Published in: Positivity (Search for Journal in Brave)

zbMATH Keywords

zero-dimensionalRiesz spacevector latticeArchimedeanclopen setYosida representationsufficiently many projectionspi-baseFreudenthal spectral theorem

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Topological representations of algebraic systems (54H10)

Cites Work

• Extremal units in an Archimedean Riesz space
• Groupes et anneaux reticules
• Weakly least integer closed groups
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