Local automorphisms of the unitary group and the general linear group on a Hilbert space

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dc.creatorMolnar, Lajos
dc.creatorSemrl, Peter
dc.date2000-05-17
dc.date.accessioned2026-07-25T22:46:15Z
dc.descriptionWe prove that every 2-local automorphism of the unitary group or the general linear group on a complex infinite-dimensional separable Hilbert space is an automorphism. Thus these types of transformations are completely determined by their local actions on the two-points subsets of the groups in question.
dc.description9 pages. To appear in Expo. Math
dc.identifierhttps://arxiv.org/abs/math/0005169
dc.identifierhttp://arxiv.org/abs/math/0005169
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/92327
dc.subjectOperator Algebras
dc.titleLocal automorphisms of the unitary group and the general linear group on a Hilbert space
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