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The measure extension problem for vector lattices

J. D. Maitland Wright — 1971

Annales de l'institut Fourier

Let $V$ be a boundedly $σ$ -complete vector lattice. If each $V$ -valued premeasure on an arbitrary field of subsets of an arbitrary set can be extended to a $σ$ -additive measure on the generated $σ$ -field then $V$ is said to have the . Various sufficient conditions on $V$ which ensure that it has this property are known. But a complete characterisation of the property, that is, necessary and sufficient conditions, is obtained here. One of the most useful characterisations is: $V$ . This leads to an...

Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces

José Bonet; J. D. Maitland Wright — 2012

Matematički Vesnik

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