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Bálint Gyenti and
Lajos Molnár
On local automorphisms of some quantum mechanical structures of Hilbert space operators
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| Published: |
December 8, 2020. |
| Keywords: |
Automorphisms, quantum structures, self-adjoint operators, projections, density operators, Hilbert space effects, positive definite operators. |
| Subject: |
47B49, 46L40, 81R15, 81R99. |
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Abstract
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. |
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| Acknowledgements
The first author acknowledges support from the National Research, Development and Innovation Office of Hungary, NKFIH, Grant No. K134944. The second author acknowledges supports from
the Ministry for Innovation and Technology, Hungary, grant TUDFO/47138-1/2019-ITM and from the National Research, Development and Innovation Office of Hungary, NKFIH, Grant No's. K115383, K134944.
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| Author information
Bálint Gyenti:
Budapest University of Technology and Economics
Institute of Mathematics
H-1521 Budapest, Hungary
gyentib@math.bme.hu
Lajos Molnár:
University of Szeged
Bolyai Institute
H-6720 Szeged, Aradi vértanúk tere 1., Hungary, and
Budapest University of Technology and Economics
Institute of Mathematics
H-1521 Budapest, Hungary
molnarl@math.u-szeged.hu
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