Description of the limit set of Henstock-Kurzweil integral sums of vector-valued functions

DOI10.1016/j.jmaa.2014.07.050zbMath1309.46024OpenAlexW2039730894MaRDI QIDQ743185

Vladimir Kadets, Diana Caponetti, Luisa Di Piazza

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.050

zbMATH Keywords

Aumann integralmultifunctionHenstock-Kurzweil integrallimit set of integral sums

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Calculus of functions taking values in infinite-dimensional spaces (26E20)

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THE WEAK DROP PROPERTY AND THE DE LA VALL´EE POUSSIN THEOREM ⋮ Multivalued Functions Integration: from Additive to Arbitrary Non-negative Set Function ⋮ Open problems in Banach spaces and measure theory

Cites Work

• Series in Banach spaces: conditional and unconditional convergence. Transl. from the Russian by Andrei Iacob
• Convergence theorems for Banach space valued integrable multifunctions
• Convex analysis and measurable multifunctions
• On the Krein-Šmulian theorem for weaker topologies
• On the Limits of Riemann Sums†
• ON THE LIMITS OF RIEMANN APPROXIMATING SUMS
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