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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Infinite Riesz decompositions
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by A. W. Wickstead PDF
Proc. Amer. Math. Soc. 147 (2019), 4581-4584 Request permission

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.
References
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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
  • MR Author ID: 182585
  • Email: a.wickstead@qub.ac.uk
  • 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
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4581-4584
  • MSC (2010): Primary 06F20, 46B40
  • DOI: https://doi.org/10.1090/proc/14560
  • MathSciNet review: 4011495