On the algebraic structure of the unitary group

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dc.creatorRicard, Eric
dc.creatorRosendal, Christian
dc.date2006-04-11
dc.date.accessioned2026-07-07T07:10:46Z
dc.date.available2026-07-07T07:10:46Z
dc.descriptionWe consider the unitary group $\U$ of complex, separable, infinite-dimensional Hilbert space as a discrete group. It is proved that, whenever $\U$ acts by isometries on a metric space, every orbit is bounded. Equivalently, $\U$ is not the union of a countable chain of proper subgroups, and whenever $\E\subseteq \U$ generates $\U$, it does so by words of a fixed finite length.
dc.identifierhttps://arxiv.org/abs/math/0604250
dc.identifierhttp://arxiv.org/abs/math/0604250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111524
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.titleOn the algebraic structure of the unitary group
dc.typetext

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