Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space

DOI10.1016/j.jmaa.2013.05.073zbMath1309.28012OpenAlexW2081834272MaRDI QIDQ2258471

Kazimierz Musiał\, Luisa Di Piazza

Publication date: 26 February 2015

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.2013.05.073

zbMATH Keywords

multifunctionHenstock integralconvergence theoremssupport functionselectorset-valued Pettis integralset-valued Henstock-Kurzweil-Pettis integral

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued operators (47H04) Vector-valued measures and integration (46G10)

Related Items (4)

Gauge integrals and selections of weakly compact valued multifunctions ⋮ Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures ⋮ Countable additivity of Henstock-Dunford integrable functions and Orlicz space ⋮ An extension of the Birkhoff integrability for multifunctions

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