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The second dual of <i>C</i><sub>0</sub> (<i>S, A</i>)

The second dual of <i>C</i><sub>0</sub> (<i>S, A</i>)

Abstract The second dual of the vector-valued function space C 0 ( S, A ) is characterized in terms of generalized functions in the case where A* and A** have the Radon-Nikodým property. As an application we present a simple proof that C 0 ( S, A ) is Arens …