The Vitali-Hahn-Saks Theorem for Boolean Algebras with the Subsequential Interpolation Property
From MaRDI portal
Publication:3310857
DOI10.2307/2044835zbMath0529.28004OpenAlexW4248340087MaRDI QIDQ3310857
Publication date: 1984
Full work available at URL: https://doi.org/10.2307/2044835
interpolation propertyVitali-Hahn-Saks theoremsubsequential interpolation propertyboolean algebrasf-propertysubsequential completeness propertyuniformly strongly additive sequence of measures
Spaces of measures, convergence of measures (28A33) Measures on Boolean rings, measure algebras (28A60) Chain conditions, complete algebras (06E10)
Related Items
The Nikodym property and cardinal characteristics of the continuum, A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions, Unnamed Item, Independent families in Boolean algebras with some separation properties, Brooks-Jewett and Nikodym convergence theorems for orthoalgebras that have the weak subsequential interpolation property, Unnamed Item, Barrelled subspaces of spaces with subseries decompositions or Boolean rings of projections, Barrelledness of the space of vector valued and simple functions, On Nikodým and Rainwater sets for ba (R) and a problem of M. Valdivia, The Nikodym property in the Sacks model, PROPERTIES OF MEASURES ON ”STABLE” BOOLEAN ALGEBRAS, Convergence of measures after adding a real, On Dieudonné's boundedness theorem, Cafiero and Brooks-Jewett theorems for Vitali spaces, Filter convergence and decompositions for vector lattice-valued measures, Effect algebras with the subsequential interpolation property, Convergence theorems for topological group valued measures on effect algebras, Witnessing the lack of the Grothendieck property in \(C(K)\)-spaces via convergent sequences, Generalizations of the Nikodym boundedness and Vitali--Hahn--Saks theorems, Summing Boolean algebras, THE BROOKS-JEVETT THEOREM ON UNIFORM DIMENTRICULARITY ON A NON-SIGMA-FULL CLASS OF SETS, Convergence of measures in forcing extensions, Steinhaus summability theorem revisited, On the density of Banach spaces 𝐶(𝐾) with the Grothendieck property, The Brooks-Jewett theorem on an orthomodular lattice, Minimally generated Boolean algebras and the Nikodym property
Cites Work
- Unnamed Item
- A non-reflexive Grothendieck space that does not contain \(l_{\infty }\)
- On Vitaly-Hahn-Saks-Nikodym theorems
- On uniform boundedness properties in exhausting additive set function spaces
- Nonweakly Compact Operators from Order-Cauchy Complete C(S) Lattices, with Application to Baire Classes
- Measures on F-Spaces
