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Infinite Riesz decompositions


Author: A. W. Wickstead
Journal: Proc. Amer. Math. Soc. 147 (2019), 4581-4584
MSC (2010): Primary 06F20, 46B40
DOI: https://doi.org/10.1090/proc/14560
Published electronically: June 27, 2019
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Abstract: This paper commences the study of infinite analogues of the Riesz decomposition property for ordered vector spaces and ordered normed spaces. A complete result is obtained in the normed case and partial results in general.


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Additional Information

A. W. Wickstead
Affiliation: Mathematical Sciences Research Centre, Queen’s University Belfast, Belfast BT7 1NN, Northern Ireland, United Kingdom
Email: a.wickstead@qub.ac.uk

DOI: https://doi.org/10.1090/proc/14560
Keywords: Ordered vector spaces, ordered normed spaces, Riesz decomposition property.
Received by editor(s): January 9, 2018
Received by editor(s) in revised form: January 29, 2019
Published electronically: June 27, 2019
Communicated by: Thomas Schlumprecht
Article copyright: © Copyright 2019 American Mathematical Society