Czechoslovak Mathematical Journal, first online, pp. 1-16


Integration and decompositions of weak$^*$-integrable multifunctions

Kazimierz Musiał

Received October 30, 2022.   Published online May 10, 2023.

Abstract:  Conditions guaranteeing Pettis integrability of a Gelfand integrable multifunction and a decomposition theorem for the Henstock-Kurzweil-Gelfand integrable multifunctions are presented.
Keywords:  Gelfand integral; Pettis integral; Henstock-Kurzweil-Gelfand integral; Denjoy-Khintchine-Gelfand integral; Henstock-Kurzweil-Pettis integral; Denjoy-Khintchine-Pettis integral; multifunction; decomposition
Classification MSC:  28B20, 26A39, 46G10

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Affiliations:   Kazimierz Musiał, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland, e-mail: kazimierz.musial@math.uni.wroc.pl


 
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