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Radon-Nikodým derivatives for Banach lattice-valued measures

Radon-Nikodým derivatives for Banach lattice-valued measures

Let $(\Delta ,\Gamma ,\mu )$ be a measure space such that $0 < \mu (\Delta ) < \infty$ and such that $\Gamma$ has no $\mu$-atoms. Furthermore, let $E$ be a Dedekind complete Banach lattice. By $M(\mu ,E)$ we denote the set of all $E$-valued set functions $\nu$ on $\Gamma$ satisfying …