Set-valued Kurzweil-Henstock Integral in Riesz spaces

zbMath1276.28027arXiv1110.6770MaRDI QIDQ2850046

Anna Rita Sambucini, Anna Maria Minotti, Antonio Boccuto

Publication date: 26 September 2013

Full work available at URL: https://arxiv.org/abs/1110.6770

zbMATH Keywords

Aumann integralBanach latticeKurzweil-Henstock integralRiesz spacemultivalued integral

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued measures and integration (46G10)

Related Items (12)

Gauge integrals and selections of weakly compact valued multifunctions ⋮ Set-valued Brownian motion ⋮ Some new results on integration for multifunction ⋮ Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures ⋮ Modular convergence in \(H\)-Orlicz spaces of Banach valued functions ⋮ Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes ⋮ Countable additivity of Henstock-Dunford integrable functions and Orlicz space ⋮ An extension of the Birkhoff integrability for multifunctions ⋮ Multifunctions determined by integrable functions ⋮ Properties of the Riemann-Lebesgue integrability in the non-additive case ⋮ A special class of fuzzy measures: Choquet integral and applications ⋮ Abstract integration with respect to measures and applications to modular convergence in vector lattice setting

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