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$L^{1}$-SPACES
We analyze domination properties and factorization of operators in Banach spaces through subspaces of 
$L^{1}$-spaces. Using vector measure integration and extending classical arguments based on scalar integral bounds, we provide characterizations of operators factoring through subspaces of 
$L^{1}$-spaces of finite measures. Some special cases involving positivity and compactness of the operators are considered.
