Generalizations of the Nikodym boundedness and Vitali--Hahn--Saks theorems
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Publication:703659
DOI10.1016/j.jmaa.2004.06.030zbMath1081.28005OpenAlexW2037310171MaRDI QIDQ703659
Paul Abraham, Christopher E. Stuart
Publication date: 11 January 2005
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.030
Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Vector-valued set functions, measures and integrals (28B05) Spaces of measures, convergence of measures (28A33) Vector-valued measures and integration (46G10)
Related Items (6)
On the work of Lech Drewnowski ⋮ Sequences of 0's and 1's: special sequence spaces with the separable Hahn property ⋮ On some `duality' of the Nikodym property and the Hahn property ⋮ `Duality' of the Nikodym property and the Hahn property: Densities defined by sequences of matrices ⋮ Stable Kneser hypergraphs and ideals in $\mathbb {N}$ with the Nikodým property ⋮ Normed barrelled spaces
Cites Work
- A non-reflexive Grothendieck space that does not contain \(l_{\infty }\)
- Summability and substructures of \(2^{N}\)
- Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodým's boundedness theorem
- Sequences of 0's and 1's
- The Vitali-Hahn-Saks Theorem for Boolean Algebras with the Subsequential Interpolation Property
- Saeki's Improvement of the Vitali-Hahn-Saks-Nikodym Theorem Holds Precisely for Banach Spaces having Cotype
- Barrelled subspaces of spaces with subseries decompositions or Boolean rings of projections
- ON THE VITALI-HAHN-SAKS-NIKODYM THEOREM
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