
Summary: We consider a notion of weak convergence for measures taking values in a Banach space. A version of Prokhoroff's Theorem is proved for such measures, and applications are given to the existence of products of measures with values in a Banach algebra and to a Strassen's Theorem for measures taking values in the positive cone of a Banach lattice.
Prokhoroff's Theorem, Vector-valued measures and integration, Strassen's Theorem for measures taking values in the positive cone of a Banach lattice, products of measures with values in a Banach algebra, Spaces of measures, weak convergence for measures taking values in a Banach space
Prokhoroff's Theorem, Vector-valued measures and integration, Strassen's Theorem for measures taking values in the positive cone of a Banach lattice, products of measures with values in a Banach algebra, Spaces of measures, weak convergence for measures taking values in a Banach space
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