Construction and properties of quasi-linear functionals

DOI10.1090/S0002-9947-06-03843-8zbMath1111.28013OpenAlexW1808535346MaRDI QIDQ3373730

Alf B. Rustad, Ø. Johansen

Publication date: 8 March 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-03843-8

zbMATH Keywords

q-spacesigned solid set-functionsigned topological measure

Mathematics Subject Classification ID

Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (9)

The median in multidimensional spaces ⋮ On integration with respect to a DT-measure ⋮ Weak convergence of topological measures ⋮ Deficient topological measures on locally compact spaces ⋮ Ways of obtaining topological measures on locally compact spaces ⋮ Integration with respect to deficient topological measures on locally compact spaces ⋮ Non-linear functionals, deficient topological measures, and representation theorems on locally compact spaces ⋮ Deficient topological measures and functionals generated by them ⋮ Repeated quasi-integration on locally compact spaces

Cites Work

• Pure quasi-states and extremal quasi-measures
• Quasi-states and quasi-measures
• Topology and the construction of extreme quasi-measures
• Signed Quasi-Measures
• Additivity of quasi-measures
• Probability and quasi-measures - a new interpretation
• Density in the space of topological measures
• Construction of non-subadditive measures and discretization of Borel measures
• Signed quasi-measures and dimension theory

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