The Nikodým boundedness theorem for lattice-valued measures

DOI10.1007/BF01195219zbMath0661.28003OpenAlexW2055389405MaRDI QIDQ1112972

Charles W. Swartz

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195219

zbMATH Keywords

order convergencelattice-valued measuresNikodým boundedness theoremorder bounded range

Mathematics Subject Classification ID

Set functions, measures and integrals with values in ordered spaces (28B15)

Related Items (7)

Limit theorems in \((l)\)-groups with respect to \((D)\)-convergence ⋮ Unnamed Item ⋮ Decomposition of measures and modular functions ⋮ A note on Riesz space valued measures ⋮ A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting ⋮ Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups ⋮ Dieudonné-type theorems for lattice group-valued k-triangular set functions

Cites Work

• Matrix methods in analysis
• On the Modulus of Weakly Compact Operators and Strongly Additive Vector Measures
• The Jordan Decomposition of Vector-Valued Measures
• Reguläre und singuläre Abbildungen eines distributiven Verbandes in einen vollständigen Vektorverband, welche der Funktionalgleichung f(xy) + f(xy) = f(x) + f(y).
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