Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions

DOI10.1007/S10231-017-0674-ZzbMath1400.28020arXiv1912.01845OpenAlexW2621786112MaRDI QIDQ681686

Domenico Candeloro, Anna Rita Sambucini, Kazimierz Musiał\, Luisa Di Piazza

Publication date: 13 February 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01845

zbMATH Keywords

Pettis integralmultifunctionselectiongauge integraldecomposition theorem for multifunction

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Selections in general topology (54C65) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (18)

Some new results on integration for multifunction ⋮ Convergence for varying measures in the topological case ⋮ Life and work of Domenico Candeloro: an appreciation ⋮ Multi-integrals of finite variation ⋮ Convergence results in Birkhoff weak integrability ⋮ Some remarks on Vainikko integral operators in BV type spaces ⋮ Variation diminishing-type properties for multivariate sampling Kantorovich operators ⋮ Some remarks on descriptive characterizations of the strong McShane integral ⋮ Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions ⋮ Unnamed Item ⋮ A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability ⋮ Integration of multifunctions with closed convex values in arbitrary Banach spaces ⋮ Multifunctions determined by integrable functions ⋮ A Girsanov result for the Pettis integral ⋮ Variational measure with respect to measurable gauges ⋮ A new fuzzy McShane integrability ⋮ Properties of the Riemann-Lebesgue integrability in the non-additive case ⋮ Convergence for varying measures

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