46 citations · 302 across the 20 of their papers we have counts for
4 papers · 1 filter
A note on set-valued Henstock--McShane integral in Banach (lattice) space setting
Antonio Boccuto, Domenico Candeloro, Anna Rita Sambucini
We study Henstock-type integrals for functions defined in a Radon measure space and taking values in a Banach lattice . Both the single-valued case and the multivalued one are c…
Order-type Henstock and McShane integrals in Banach lattice setting
Domenico Candeloro, Anna Rita Sambucini
We study Henstock-type integrals for functions defined in a compact metric space endowed with a regular -additive measure , and taking values in a Banach lattice . In…
Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes
Antonio Boccuto, Domenico Candeloro, Anna Rita Sambucini
A Vitali-type theorem for vector lattice-valued modulars with respect to filter convergence is proved. Some applications are given to modular convergence theorems for moment operat…
Filter convergence and decompositions for vector lattice-valued measures
Domenico Candeloro, Anna Rita Sambucini
Filter convergence of vector lattice-valued measures is considered, in order to deduce theorems of convergence for their decompositions. First the -additive case is studied, wit…