Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodým's boundedness theorem
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Publication:1083568
DOI10.1216/RMJ-1986-16-2-253zbMath0604.28006OpenAlexW2046476792MaRDI QIDQ1083568
Publication date: 1986
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmj-1986-16-2-253
Vitali-Hahn-Saks theoremNikodým's boundedness theoremgroup-valued measurespointwise compactnessRosenthal's lemma
Related Items (18)
Subseries convergence in abstract duality pairs ⋮ Brooks-Jewett and Nikodym convergence theorems for orthoalgebras that have the weak subsequential interpolation property ⋮ Unnamed Item ⋮ Boolean quotients of orthomodular lattices ⋮ Unnamed Item ⋮ ON THE VITALI-HAHN-SAKS-NIKODYM THEOREM ⋮ On Dieudonné's boundedness theorem ⋮ Equicontinuity and uniform boundedness for non-commutative groups ⋮ Cafiero and Brooks-Jewett theorems for Vitali spaces ⋮ Effect algebras with the subsequential interpolation property ⋮ Generalizations of the Nikodym boundedness and Vitali--Hahn--Saks theorems ⋮ Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups ⋮ An extension theorem for modular measures on effect algebras ⋮ Modular functions: uniform boundedness and compactness ⋮ On Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for quasi-triangular functions ⋮ On nonatomicity for non-additive functions ⋮ The Brooks-Jewett theorem on an orthomodular lattice ⋮ On the Mikusiński-Antosik diagonal theorem and the equivalence of two types of convergence in Köthe spaces
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