Modular functions: uniform boundedness and compactness

DOI10.1007/BF02844366zbMath0931.28009OpenAlexW2028723538MaRDI QIDQ1265433

Maria Antonietta Lepellere, Anna Avallone

Publication date: 28 September 1998

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844366

zbMATH Keywords

uniform boundednessmodular functionscompactnessconvergence theoremscomplemented lattices

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Group- or semigroup-valued set functions, measures and integrals (28B10) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (6)

Unnamed Item ⋮ Modular functions on multilattices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Lyapunov modular functions ⋮ Two extension theorems. Modular functions on complemented lattices

Cites Work

• The Brooks-Jewett theorem on an orthomodular lattice
• Pointwise sequential compactness and weak compactness in spaces of contents
• Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodým's boundedness theorem
• A Mazur-Orlicz type theorem for submodular set functions
• Equivalence of Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for uniform semigroup-valued additive functions on a Boolean ring
• Group-valued modular functions
• Unabhaengige Topologien, Zerlegung von Ringtopologien
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• Lattice uniformities generated by filters
• On modular functions
• Lattice uniformities and modular functions on orthomodular lattices
• Liapunov theorem for modular functions
• Valuations on complemented lattices
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