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On some order properties of Riesz spaces and their relations

Luxemburg, W. A. J. (1968) On some order properties of Riesz spaces and their relations. Archiv der Mathematik, 19 (5). pp. 488-493. ISSN 0003-889X. https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854959

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Abstract

The purpose of this note is to show that a number of order properties which occur in the theory of Riesz spaces are in fact equivalent. For a proper understanding of the kind of results we are interested in we shall first begin by recalling the various concepts which are involved.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/bf01898770DOIArticle
https://rdcu.be/8rB5PublisherFree ReadCube access
Additional Information:© Birkhäuser Verlag 1968. Eingegangen am 5. 12. 1967. Work on this paper was supported in part by the National Science Foundation grant NSF-GP-6111.
Funders:
Funding AgencyGrant Number
NSFGP-6111
Subject Keywords:Riesz Space; Order Property
Issue or Number:5
Record Number:CaltechAUTHORS:20181003-155854959
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854959
Official Citation:Luxemburg, W.A.J. Arch. Math (1968) 19: 488. https://doi.org/10.1007/BF01898770
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90118
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Oct 2018 22:05
Last Modified:03 Oct 2019 20:22

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