Abstract:Every lower semi-continuous closed-and-convex valued mapping $\Phi : X\rightarrow 2^{Y}$, where $X$ is a $\Sigma $-product of metrizable spaces and $Y$ is a Hilbert space, has a single-valued continuous selection. This improves an earlier result of the author.
Keywords: set-valued mapping, l.s.c. mapping, $\Sigma $-product, selection
AMS Subject Classification: 54C60, 54C65, 54D15