A note on measurability of multifunctions approximately continuous in second variable
Kwiecińska, Grażyna
Tatra Mountains Mathematical Publications, Tome 51 (2012), / Harvested from Mathematical Institute
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Let $I\subset \R$ be an interval, $(X,{\calM}(X))$ a measure space, and $(Z,||\cdot||)$ a reflexive Banachspace. We prove that a multifunction $F$ from $X\times I$ to $Z$ ismeasurable whenever it is ${\cal M}(X)$-measurable in the first andapproximately continuous and almost everywhere continuous in thesecond variable.

Publié le : 2012-01-01
DOI : https://doi.org/10.2478/tatra.v52i0.182 
@article{182,
     title = {A note on measurability of multifunctions approximately continuous in second variable},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {51},
     year = {2012},
     doi = {10.2478/tatra.v52i0.182},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/182}
}

Kwiecińska, Grażyna. A note on measurability of multifunctions approximately continuous in second variable. Tatra Mountains Mathematical Publications, Tome 51 (2012) . doi : 10.2478/tatra.v52i0.182. http://gdmltest.u-ga.fr/item/182/