### Abstract

Let H be a separable infinite-dimensional complex Hubert space. We prove that every continuous 2-local automorphism of the poset (that is, partially ordered set) of all idempotents on H is an automorphism. Similar results concerning the orthomodular poset of all projections and the Jordan ring of all selfadjoint operators on H without the assumption on continuity are also presented.

Original language | English |
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Pages (from-to) | 91-100 |

Number of pages | 10 |

Journal | Letters in Mathematical Physics |

Volume | 58 |

Issue number | 2 |

DOIs | |

Publication status | Published - Nov 1 2001 |

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### Keywords

- Jordan ring of selfadjoint operators
- Local automorphisms
- Orthomodular poset of projections
- Poset of skew projections

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics