Pervasive and weakly pervasive pre-Riesz spaces

dc.contributor.author	Kalauch, A.
dc.contributor.author	Malinowski, H.
dc.contributor.researchID	31579922 - Malinowski, Helena
dc.date.accessioned	2019-02-12T09:19:44Z
dc.date.available	2019-02-12T09:19:44Z
dc.date.issued	2019
dc.description.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	en_US
dc.identifier.citation	Kalauch, A. & Malinowski, H. 2019. Pervasive and weakly pervasive pre-Riesz spaces. Indagationes mathematicae, 30(2):375-385. [https://doi.org/10.1016/j.indag.2018.11.003]	en_US
dc.identifier.issn	0019-3577
dc.identifier.uri	http://hdl.handle.net/10394/31827
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0019357718300910
dc.identifier.uri	https://doi.org/10.1016/j.indag.2018.11.003
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Pre-Riesz space	en_US
dc.subject	Pervasive	en_US
dc.subject	Riesz decomposition property	en_US
dc.title	Pervasive and weakly pervasive pre-Riesz spaces	en_US
dc.type	Article	en_US

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