Local automorphisms of some quantum mechanical structures

Details Local automorphisms of some quantum mechanical structures Local automorphisms of some quantum mechanical structures

2001-08-08

arxiv.org/abs/math/0108059v1

Mathematics

Operator Algebras

10 pages. To appear in Lett. Math. Phys

Scientific paper

Let 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.

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