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arXiv · 1803.07454

Pervasive and weakly pervasive pre-Riesz spaces

Anke Kalauch·Helena Malinowski
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Abstract

Pervasive pre-Riesz spaces are defined by means of vector lattice covers. To avoid the computation of a vector lattice cover, we give two distinct intrinsic characterizations of pervasive pre-Riesz spaces. We introduce weakly pervasive pre-Riesz spaces and observe that this property can be easily checked in examples. We relate weakly pervasive pre-Riesz spaces to pre-Riesz spaces with the Riesz decomposition property.

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Anke Kalauch, Helena Malinowski. 2018-03-19. Pervasive and weakly pervasive pre-Riesz spaces. https://arxiv.org/abs/1803.07454

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