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L<sup>1</sup>representation of Riesz spaces
Let $E$ be a Riesz space. By defining the spaces $L_{E}^{1}$ and $L_{E}^{\infty }$ of $E$, we prove that the center $Z(L_{E}^{1})$ of $L_{E}^{1}$ is $L_{E}^{\infty }$ and show that the injectivity of the Arens homomorphism $m:Z(E)^{\prime \prime }\rightar