34 citations · 92 across the 8 of their papers we have counts for
7 papers · 1 filter
Convergence for varying measures in the topological case
Luisa Di Piazza, Valeria Marraffa, Kazimierz Musial +1
In this paper convergence theorems for sequences of scalar, vector and multivalued Pettis integrable functions on a topological measure space are proved for varying measures vaguel…
Convergence for varying measures
Luisa Di Piazza, Valeria Marraffa, Kazimierz Musial +1
Some limit theorems of the type are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences ob…
Representations of multimeasures via multivalued Bartle-Dunford-Schwartz integral
Luisa Di Piazza, Kazimierz Musial, Anna Rita Sambucini
An integral for a scalar function with respect to a multimeasure taking its values in a locally convex space is introduced. The definition is independent of the selections of $…
Some new results on integration for multifunction
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musiał +1
It has been proven in previous papers that each Henstock-Kurzweil-Pettis integrable multifunction with weakly compact values can be represented as a sum of one of its selections an…
Gauge integrals and selections of weakly compact valued multifunctions
D. Candeloro, L. Di Piazza, K. Musial +1
In the paper Henstock, McShane, Birkhoff and variationally multivalued integrals are studied for multifunctions taking values in the hyperspace of convex and weakly compact subsets…
Set valued integrability in non separable Fréchet spaces and applications
L. Di Piazza, V. Marraffa, B. Satco
We focus on measurability and integrability for set valued functions in non-necessarily separable Fréchet spaces. We prove some properties concerning the equivalence between differ…
Lineability of non-differentiable Pettis primitives
B. Bongiorno, U. B. Darju, L. Di Piazza
Let X be an infinite-dimensional Banach space. In 1995, settling a long outstanding problem of Pettis, Dilworth and Girardi constructed an X-valued Pettis integrable function on [0…