Topological properties of the range of a group-valued finitely additive measure

DOI10.1016/0022-247X(85)90303-8zbMath0616.28002OpenAlexW2083852689MaRDI QIDQ1821218

Anna Martellotti

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(85)90303-8

zbMATH Keywords

continuityfinitely additive measuresemiconvexitygroup-valued countably additive measuresrange connectedness

Mathematics Subject Classification ID

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

Related Items (4)

Atoms and Dobrakov submeasures in effect algebras ⋮ Group valued measures with the Lyapunoff property ⋮ On the Dobrakov submeasure on fuzzy sets ⋮ On nonatomicity for non-additive functions

Cites Work

• Teoremi di decomposizione per funzioni finitamente additive a valori in un gruppo topologico
• A theory of semigroup valued measures
• Atoms of group valued measures
• Connectedness properties of the range of vector and semimeasures
• The Lebesgue Decomposition for Group-Valued Set Functions
• Outer Measures with Values in a Topological Group
• The Range of a Vector-Valued Measure
• The range of a vector measure with values in a montel space
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