Displaying similar documents to “On integration of vector functions with respect to vector measures”

A scalar Volterra derivative for the PoU-integral

V. Marraffa (2005)

Mathematica Bohemica

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A weak form of the Henstock Lemma for the P o U -integrable functions is given. This allows to prove the existence of a scalar Volterra derivative for the P o U -integral. Also the P o U -integrable functions are characterized by means of Pettis integrability and a condition involving finite pseudopartitions.

Riemann type integrals for functions taking values in a locally convex space

Valeria Marraffa (2006)

Czechoslovak Mathematical Journal

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The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are defined and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given.