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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 ...

#### On natural characterizations of tensor integrability

(Science Domain International, http://www.sciencedomain.org/, 2015-05-04)

We revisit the deﬁnition of the tensor integrability introduced in [1], and prove some useful characterizations that provide a foundation for studying relevant properties to the integration theory. As applications, we ...

#### On the Riesz representation theorem and integral operators

(NISC (Pty) Ltd, http://www.nisc.co.za/, 2015-12-14)

We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ...