The unit ball of the Hilbert space in its weak topology

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dc.creatorAvilés, Antonio
dc.date2009-03-01
dc.date.accessioned2026-07-07T12:48:01Z
dc.date.available2026-07-07T12:48:01Z
dc.descriptionWe show that the unit ball of a Hilbert space in its weak topology is a continuous image of the countable power of the Alexandroff compactification of a discrete set, and we deduce some combinatorial properties of its lattice of open sets which are not shared by the balls of other equivalent norms when the space is nonseparable.
dc.identifierhttps://arxiv.org/abs/0903.0154
dc.identifierhttp://arxiv.org/abs/0903.0154
dc.identifierProc. Am. Math. Soc. 135, No. 3, 833-836 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221915
dc.subjectGeneral Topology
dc.subjectFunctional Analysis
dc.subject46B50, 46B26, 46C05, 54B30, 54D15.
dc.titleThe unit ball of the Hilbert space in its weak topology
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