A note on measurability of multifunctions approximately continuous in second variable

Rok, strany: 2012, 91 - 100

Let $I\subset \R$ be an interval, $\bl(X,{\mathcal M}(X)\br)$ a measure space, and $(Z,\parallel · \parallel)$ a reflexive Banach space. We prove that a multifunction $F$ from $X× I$ to $Z$ is measurable whenever it is ${\mathcal M}(X)$-measurable in the first and approximately continuous and almost everywhere continuous in the second variable.

ISO 690:

Kwiecińska, G. 2012. A note on measurability of multifunctions approximately continuous in second variable. In Tatra Mountains Mathematical Publications, vol. 52, no.2, pp. 91-100. 1210-3195.

APA:

Kwiecińska, G. (2012). A note on measurability of multifunctions approximately continuous in second variable. Tatra Mountains Mathematical Publications, 52(2), 91-100. 1210-3195.