Uniform \((s)\)-boundedness and regularity for \((l)\)-group-valued measures

DOI10.2478/s11533-010-0097-1zbMath1217.28020OpenAlexW2044879959MaRDI QIDQ539213

Antonio Boccuto, Domenico Candeloro

Publication date: 27 May 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0097-1

zbMATH Keywords

order convergence(\(l\))-groupBrooks-Jewett theoremregular set functionuniform (\(s\))-boundedness

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items (5)

Some versions of limit and Dieudonné-type theorems with respect to filter convergence for \((\ell )\)-group-valued measures ⋮ Life and work of Domenico Candeloro: an appreciation ⋮ Some new results on Dieudonné-type theorems for \(k\)-triangular lattice group-valued set functions ⋮ Dieudonné-type theorems for lattice group-valued k-triangular set functions ⋮ Some further results on ideal summability of nets in (\(\ell\)) groups

Cites Work

• Dieudonné-type theorems for set functions with values in \((l)\)-groups.
• Dieudonné's theorem for non-additive set functions
• On a theorem of Dieudonne
• Continuity and compactness of measures
• Cafiero approach to the Dieudonné type theorems
• The measure extension problem for vector lattices
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
• Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups
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