When L1 of a vector measure is an AL-space

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Curbera Costello, Guillermo (1994)
  • Publisher: Mathematical Sciences Publishers
  • Journal: (issn: 0030-8730)
  • Subject: 46G10 | 46B42 | 46E40

We consider the space of real functions which are integrable with respect to a countably additive vector measure with values in a Banach space. In a previous paper we showed that this space can be any order continuous Banach lattice with weak order unit. We study a priori conditions on the vector measure in order to guarantee that the resulting L is order isomorphic to an AL-space. We prove that for separable measures with no atoms there exists a Co-valued measure that generates the same space of integrable functions. Dirección General de Investigación Científica y Técnica
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