Liapunov theorem for modular functions

DOI10.1007/BF00676229zbMath0841.28007OpenAlexW2048650102MaRDI QIDQ1907540

Anna Avallone

Publication date: 18 July 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00676229

zbMATH Keywords

convexityorthomodular latticesrangemodular functionLyapunov convexity theoremcomplemented lattice

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Measures on Boolean rings, measure algebras (28A60)

Related Items (7)

Unnamed Item ⋮ Modular functions on multilattices ⋮ Unnamed Item ⋮ Modular functions: uniform boundedness and compactness ⋮ Range of finitely additive fuzzy measures ⋮ Lyapunov modular functions ⋮ Two extension theorems. Modular functions on complemented lattices

Cites Work

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• Der Wertebereich atomloser Inhalte
• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• On the Liapunov-Richter theorem in the finitely additive setting
• Uniform lattices. II: Order continuity and exhaustivity
• Lattice uniformities generated by filters
• Lattice uniformities and modular functions on orthomodular lattices
• Valuations on complemented lattices
• Liapounoff's Theorem for Nonatomic, Finitely-Additive, Bounded, Finite-Dimensional, Vector-Valued Measures
• Set-Valued Measures
• The range of a vector measure

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