Eberlein compactum
From HandWiki
In mathematics an Eberlein compactum, studied by William Frederick Eberlein, is a compact topological space homeomorphic to a subset of a Banach space with the weak topology. Every compact metric space, more generally every one-point compactification of a locally compact metric space, is Eberlein compact. The converse is not true.
References
- Eberlein, W. F. (1947), "Weak compactness in Banach spaces. I", Proceedings of the National Academy of Sciences of the United States of America 33 (3): 51–53, doi:10.1073/pnas.33.3.51, ISSN 0027-8424, PMID 16578243, Bibcode: 1947PNAS...33...51E
- Hazewinkel, Michiel, ed. (2001), "Eberlein compactum", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=Eberlein_compactum
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