Eberlein compactum
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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.
- 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, Bibcode:, doi:, ISSN, JSTOR, MR, PMC, PMID
- , Encyclopedia of Mathematics, EMS Press, 2001 [1994]