Order preserving transformations of the Hilbert grassmannian: complex case

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dc.creatorPankov, Mark
dc.date2007-04-23
dc.date.accessioned2026-07-07T07:57:51Z
dc.date.available2026-07-07T07:57:51Z
dc.descriptionLet $H$ be a separable complex Hilbert space. Denote by ${\mathcal G}_{\infty}(H)$ the Grassmannian consisting of closed linear subspaces with infinite dimension and codimension. This Grassmannian is partially ordered by the inclusion relation. We show that every continuous order preserving bijective transformation of ${\mathcal G}_{\infty}(H)$ is induced by an invertible bounded semi-linear operator.
dc.identifierhttps://arxiv.org/abs/0704.3022
dc.identifierhttp://arxiv.org/abs/0704.3022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127799
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46C05, 14M15.
dc.titleOrder preserving transformations of the Hilbert grassmannian: complex case
dc.typetext

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