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New York Journal of Mathematics
Volume 26 (2020), 1444-1472

  

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.

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.

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.


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