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Eberlein compactum information


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.

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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...

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Compact space

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group) is compact. Compactly generated space Compactness theorem Eberlein compactum Exhaustion by compact sets Lindelöf space Metacompact space Noetherian...

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Weak topology

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particular, see the weak operator topology and weak* operator topology. Eberlein compactum, a compact set in the weak topology Weak convergence (Hilbert space)...

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Polyadic space

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to Y {\displaystyle Y} . Polyadic spaces are hyadic. Dyadic space Eberlein compactum Stone space Stone–Čech compactification Supercompact space Hart, Klaas...

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