On convergences of measurable functions in Archimedean vector lattices

DOI10.1007/s11117-009-0034-3zbMath1200.28012OpenAlexW1980232134MaRDI QIDQ707874

Ondrej Hutník, Ján Haluška

Publication date: 8 October 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-009-0034-3

zbMATH Keywords

convergence in measureEgoroff theoremalmost everywhere convergenceArchimedean vector latticesalmost uniform convergence\((r)\)-Convergenceoperator valued measure

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Vector-valued set functions, measures and integrals (28B05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (1)

On \(p\)-convergence in measure of a sequence of measurable functions

Cites Work

• On vector-valued Dobrakov submeasures
• Integral and ideals in Riesz spaces
• Integration in Vector Lattices
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