The Lebesgue Decomposition for Group-Valued Set Functions

DOI10.2307/1997647zbMath0334.28010OpenAlexW4248960123MaRDI QIDQ4100723

Tim Traynor

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997647

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (17)

Sequential compactness for sets of Sugeno fuzzy measures ⋮ Order-continuous component of a majorized operator ⋮ Lattice uniformities and modular functions on orthomodular lattices ⋮ The generalized Yosida–Hewitt theorem ⋮ Unabhaengige Topologien, Zerlegung von Ringtopologien ⋮ Continuity properties of vector measures ⋮ Decomposition of measures and modular functions ⋮ On the absolute continuity of additive and non-additive functions ⋮ Monotonely Cauchy locally-solid topologies ⋮ On lattices of uniformities ⋮ A decomposition theorem for submeasures ⋮ On a unifying approach to decomposition theorems of Yosida-Hewitt type ⋮ On the lattice of Fréchet-Nikodým topologies ⋮ Topological properties of the range of a group-valued finitely additive measure ⋮ Unnamed Item ⋮ Boolean algebras of lattice uniformities and decompositions of modular functions ⋮ Two extension theorems. Modular functions on complemented lattices

Cites Work

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• Decomposition of group-valued additive set functions
• Decomposition of additive set functions
• A Decomposition of Finitely Additive Set Functions.
• Absolute Continuity for Group-Valued Measures
• Outer Measures with Values in a Topological Group
• A General Hewitt-Yosida Decomposition
• Decompositions of set functions

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