A non-commutative version of the first Alexandroff decomposition theorem in ordered topological groups

DOI10.1007/BF02904233zbMath1060.28011OpenAlexW2094989795MaRDI QIDQ1567693

Pedro Morales, Paolo de Lucia

Publication date: 2000

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02904233

zbMATH Keywords

orthoalgebrasmooth measureregular measureWallman extensionAlexandroff spacepaving in an orthoposet

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Set functions, measures and integrals with values in ordered spaces (28B15) Group- or semigroup-valued set functions, measures and integrals (28B10)

Cites Work

• Effect algebras and unsharp quantum logics.
• Filters and supports in orthoalgebras
• Groupes et anneaux reticules
• The center of an effect algebra
• Ordered linear spaces
• Convergence theorems for topological group valued measures on effect algebras
• The Approximate Jordan-Hahn Decomposition
• A noncommutative version of a Theorem of Marczewski for submeasures
• Regularity of Group Valued Baire and Borel Measures
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