On Dieudonné's boundedness theorem

DOI10.1016/0022-247X(90)90412-9zbMath0697.28004MaRDI QIDQ910881

Emma Guariglia

Publication date: 1990

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

zbMATH Keywords

uniform boundednessregular measuressubsequential interpolation propertyDieudonné's boundedness theoremgroup-valued finitely additive regular set functionsNikodým's boundedness theorem

Mathematics Subject Classification ID

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

Related Items

The range of null-additive fuzzy and non-fuzzy measures ⋮ Cafiero approach to the Dieudonné type theorems ⋮ Dieudonné's theorem for non-additive set functions ⋮ Dieudonné-type theorems for lattice group-valued k-triangular set functions

Cites Work

• A non-reflexive Grothendieck space that does not contain \(l_{\infty }\)
• On the continuation of vector measures
• The Vitali-Hahn-Saks theorem for algebras
• Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodým's boundedness theorem
• Equivalence of Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for uniform semigroup-valued additive functions on a Boolean ring
• On a theorem of Dieudonne
• The Hahn-Vitali-Saks and the uniform boundedness theorem in topological groups
• The Vitali-Hahn-Saks Theorem for Boolean Algebras with the Subsequential Interpolation Property
• On the Vitali–Hahn–Saks theorem
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