Order-automorphisms of the set of bounded observables

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41 Citations (Scopus)


Let H be a complex Hubert space and denote by Bs(H) the set of all self-adjoint bounded linear operators on H. In this article we describe the form of all bijective maps (no linearity or continuity is assumed) on Bs(H) which preserve the order ≤ in both directions.

Original languageEnglish
Pages (from-to)5904-5909
Number of pages6
JournalJournal of Mathematical Physics
Issue number12
Publication statusPublished - dec. 1 2001


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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