Integration and decompositions of weak * -integrable multifunctions

Kazimierz Musiał

Czechoslovak Mathematical Journal (2025)

  • Issue: 1, page 141-156
  • ISSN: 0011-4642

Abstract

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Conditions guaranteeing Pettis integrability of a Gelfand integrable multifunction and a decomposition theorem for the Henstock-Kurzweil-Gelfand integrable multifunctions are presented.

How to cite

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Musiał, Kazimierz. "Integration and decompositions of weak$^*$-integrable multifunctions." Czechoslovak Mathematical Journal (2025): 141-156. <http://eudml.org/doc/299925>.

@article{Musiał2025,
abstract = {Conditions guaranteeing Pettis integrability of a Gelfand integrable multifunction and a decomposition theorem for the Henstock-Kurzweil-Gelfand integrable multifunctions are presented.},
author = {Musiał, Kazimierz},
journal = {Czechoslovak Mathematical Journal},
keywords = {Gelfand integral; Pettis integral; Henstock-Kurzweil-Gelfand integral; Denjoy-Khintchine-Gelfand integral; Henstock-Kurzweil-Pettis integral; Denjoy-Khintchine-Pettis integral; multifunction; decomposition},
language = {eng},
number = {1},
pages = {141-156},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Integration and decompositions of weak$^*$-integrable multifunctions},
url = {http://eudml.org/doc/299925},
year = {2025},
}

TY - JOUR
AU - Musiał, Kazimierz
TI - Integration and decompositions of weak$^*$-integrable multifunctions
JO - Czechoslovak Mathematical Journal
PY - 2025
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 141
EP - 156
AB - Conditions guaranteeing Pettis integrability of a Gelfand integrable multifunction and a decomposition theorem for the Henstock-Kurzweil-Gelfand integrable multifunctions are presented.
LA - eng
KW - Gelfand integral; Pettis integral; Henstock-Kurzweil-Gelfand integral; Denjoy-Khintchine-Gelfand integral; Henstock-Kurzweil-Pettis integral; Denjoy-Khintchine-Pettis integral; multifunction; decomposition
UR - http://eudml.org/doc/299925
ER -

References

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