Local Automorphisms of Some Quantum Mechanical Structures |
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| Authors: | Molnár Lajos |
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| Institution: | (1) Institute of Mathematics and Informatics, University of Debrecen, 4010 Debrecen, PO Box 12, Hungary |
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| Abstract: | 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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| Keywords: | local automorphisms poset of skew projections orthomodular poset of projections Jordan ring of selfadjoint operators |
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