Local automorphisms of some quantum mechanical structures

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dc.creatorMolnar, Lajos
dc.date2001-08-08
dc.date.accessioned2026-07-07T04:42:55Z
dc.date.available2026-07-07T04:42:55Z
dc.descriptionLet H be a separable infinite dimensional complex Hilbert space. We prove that every continuous 2-local automorphism of the poset (that is, partially ordered set) of all idempotents on H is an automorphism. Similar results concerning the orthomodular poset of all projections and the Jordan ring of all selfadjoint operators on H without the assumption on continuity are also presented.
dc.description10 pages. To appear in Lett. Math. Phys
dc.identifierhttps://arxiv.org/abs/math/0108059
dc.identifierhttp://arxiv.org/abs/math/0108059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61991
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subject47B49; 03G12
dc.titleLocal automorphisms of some quantum mechanical structures
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