Now showing items 1-3 of 3
On the differentiability of vector valued additive set functions
(Scientific Research, http://www.scirp.org, 2013-11)
The Lebesgue-Nikodým Theorem states that for a Lebesgue measure λ:Σ〖⊂2〗^Ω→[0,∞) an additive set function F:Σ→R which is λ-absolutely continuous is the integral of a Lebegsue integrable a measurable function ...
Unified approach to vector valued integration
(Pushpa Publishing House, www.pphmj.com, 2013-06)
We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of ...
More on equivalence properties of Radon-Nikodym property types and Complete Continuity property types
(Pushpa Publishing House, www.pphmj.com, 2013-01)
We study the equivalence property of the I- and II-L-Radon-Nikodým property (resp. I- and II-L-complete continuity property) types of Banach spaces. As a by-product, we obtain a proof of the following: F. Lust-Picard’s ...