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Gyenti, Bálint; Molnár, Lajos

On local automorphisms of some quantum mechanical structures of Hilbert space operators. (English) Zbl 1521.47062

New York J. Math. 26, 1444-1472 (2020).
Summary: In this paper, we substantially strengthen several formerly obtained results stating that all 2-local automorphisms of certain quantum structures consisting of Hilbert space operators are necessarily automorphisms [L. Molnár, Lett. Math. Phys. 58, No. 2, 91–100 (2001; Zbl 1002.46044); M. Barczy and M. Tóth, Rep. Math. Phys. 48, No. 3, 289–298 (2001; Zbl 1007.47014); L. Molnár, J. Math. Anal. Appl. 479, No. 1, 569–580 (2019; Zbl 1490.46059)].

Cited in 4 Documents

MSC:

47B49 Transformers, preservers (linear operators on spaces of linear operators)
46L40 Automorphisms of selfadjoint operator algebras
81R15 Operator algebra methods applied to problems in quantum theory
81R99 Groups and algebras in quantum theory

Keywords:

automorphisms; quantum structures; selfadjoint operators; projections; density operators; Hilbert space effects; positive definite operators

Citations:

Zbl 1002.46044; Zbl 1007.47014; Zbl 1490.46059
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Full Text: Link

References:

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