Weak convergence and weak compactness in the space of integrable functions with respect to a vector measure
Abstract We consider weak convergence and weak compactness in the space L1(m) of real valued integrable functions with respect to a Banach space valued measure m equipped with its natural norm. We give necessary and sufficient conditions for a sequence in L1(m) to be weak Cauchy, and we give necessa...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100123 |
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