Proceedings of the American Mathematical Society

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

 

 

A characterization of complete metric spaces


Author: Francis Sullivan
Journal: Proc. Amer. Math. Soc. 83 (1981), 345-346
MSC: Primary 54E50; Secondary 54C30
MathSciNet review: 624927
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Abstract: A general formulation of the completeness argument used in the Bishop-Phelps Theorem and many other places has been given by Ekeland. It is shown that Ekeland's formulation characterizes complete metric spaces.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0624927-9
Keywords: Bishop-Phelps Theorem, completeness
Article copyright: © Copyright 1981 American Mathematical Society