Local automorphisms of the sets of states and effects on a Hilbert space

https://doi.org/10.1016/S0034-4877(01)80090-2Get rights and content

Abstract

We prove that every local automorphism (affine 1-local, or non-affine 2-local) of the sets of all states on a Hilbert space is an automorphism. We also present similar results concerning the various automorphisms of the set of all effects.

References (17)

  • R.V. Kadison

    J. Algebra

    (1990)
  • L. Molnár

    Linear Algebra Appl.

    (1999)
  • L. Molnár et al.

    J. Funct. Anal.

    (1998)
  • C.S. Sharma et al.

    Ann. Phys.

    (1990)
  • C.J.K. Batty et al.

    Arch. Math.

    (1996)
  • M. Brešar et al.

    Studia Math.

    (1995)
  • G. Cassinelli et al.

    Rev. Math. Phys.

    (1997)
  • E.B. Davies
    (1976)
There are more references available in the full text version of this article.

Cited by (0)

This research was supported by a grant from the Ministry of Education, Hungary, Reg. No. FKFP 0349/2000.

View full text