Author:
CALABUIG J. M.,RODRÍGUEZ J.,SÁNCHEZ-PÉREZ E. A.
Abstract
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.
Publisher
Cambridge University Press (CUP)